How To Manifest Winning Something? The 13 New Answer

Another potential downside to be aware of: when you’re trying to manifest something important and things don’t go your way, it can be detrimental to your mental health. “The concern I have with manifesting, or any mental exercise that makes us feel like we can actually control or direct life’s outcomes if we just try or think hard enough, is that some people feel that they didn’t do enough or that they weren’t good enough, and that’s why life brought them disappointment,” says Dr. Ng. It’s not a healthy attitude because there is so much that is out of our control, especially in such an uncertain world, and part of mental wellbeing is finding effective ways to cope with things we don’t change be able.

How to practically manifest something

The manifestation may not suit you depending on your situation. And again, looking into your metaphorical crystal ball and wishing for something to happen is unlikely to change your circumstances overnight. But if you want to give it a try, there are some guidelines for trying the practice in a way that may support your mental well-being.

Remember that there is no one exactly right way to manifest, so your strategy can be whatever you want as long as it is consistent with inner reflection (to become clear about what you really want for your future) and practical action (to help get you there), says Bartz. Some people perform a formal ritual such as lighting a candle on a full moon and speaking a specific intention, while others incorporate these positive intentions into their daily meditation practice. It might even take a brief moment while you’re journaling to write down a specific goal you’ve set. Here are some expert-approved suggestions to get you started.

1. Recognize that manifesting is not the same as wishing.

It’s not like blowing out the candles on your birthday cake. “Rather than thinking of manifestation as a form of magic, think of it as a practice of becoming aware of where your attention is going, noticing the nature and quality of your thoughts, and realizing the power you have over your own inner experiences and actions have,” says Dr. Fournier. Going back to the healthy relationship example, this might seem like intentionally putting yourself in a group (anything from a book club to a softball league) where you could meet new people, rather than just finding a significant other and waiting for it to show up at your doorstep one day. Being aware of what your intentions are — and how to get there — is one small way to make meaningful changes in your life, she adds.

2. Try saying your goal out loud.

Saying your goal out loud, even if it’s just a whisper (perhaps every morning when you wake up), is one way to focus on it and make sure it aligns with your self-reflection. For example, if you’re trying to get back together with a toxic ex, saying it out loud can be the gut test you need to realize that the intention doesn’t align with your true desire to be in a loving relationship.

3. Write down your intention or set up calendar reminders.

The goals or milestones you hope to achieve should be front and center, as should your to-do list and events on your calendar. Maybe that means putting your goals down on paper, either on a post-it where you can see it daily, or in a journal if you want more privacy, suggests Dr. Fournier before. You can also set calendar reminders (e.g. weekly) that prompt you to review your vision for just 10 minutes – to reflect on the actions you have taken (or not taken) to reach your goal as a form of accountability . “Effective manifestation relies on keeping intention and vision consistently in focus so that we can align our thoughts, emotions, and actions with it,” she reiterates.

4. Consider making it a meditation ritual.

Manifesting can be a spiritual practice in its own right if you choose to use it in this way, but you can also incorporate it into a regular mindfulness practice. “Some people like to meditate and imagine how they would feel once they’ve achieved their goal,” says Bartz. It’s a way to focus your positive energy on the reality you’re hoping for and the steps it takes to get there. (How to meditate when you don’t know where to start.)

She also recommends writing your goal on a candle (on the jar) with permanent marker—or simply thinking of a candle as a visual symbol of your goal—and lighting it each day as part of a morning meditation ritual. Will the candle magically burn down all your student debt or slip your soulmate into your DMs? Maybe; maybe (probably) not. But again, if you keep your goal at the forefront, you’re more likely to direct your thoughts and actions towards achieving it. (And at least candles create a relaxing atmosphere.)

Related:

With the 369 Method, you write down what you want to manifest three times in the morning, six times during the day, and nine times in the evening.

This method grew in popularity (of course) on TikTok, with videos tagged “369method” garnering over 165 million views combined. You don’t have to look far to find people on the app claiming technology has helped them manifest new relationships, large sums of money, and more.

It was the famous inventor Nikola Tesla who first thought that three, six and nine were powerful numbers for manifestation in the 20th century. “He believed these divine numbers were the key to unlocking the universe,” spiritual advisor Diana Zalucky told mbg.

Numbers aside, the 369 practice tracks feature the Law of Attraction, which states that we tend to attract what we put our attention on.

Hypnotist and Wishcraft author Shauna Cummins adds that if you focus on what you desire, you could help your brain “find what it’s looking for and therefore be more likely to act on what you want.” especially in such a consistent way.

It only takes 17 seconds to start a manifestation. Read this blog post to learn how to manifest in 5 steps with the 17 Second Manifestation Method.

What is the 17 second rule?

The 17 second rule states that when you focus on a thought for 17 seconds, you activate the vibration of thought. And if you focus on one thought for 68 seconds, the vibration becomes strong enough to manifest in real life.

This method is great for new manifesters because it gives you a specific time to aim for when manifesting.

Follow these 5 steps below to learn how to manifest in 17 seconds.

Who invented the 17 second rule?

The 17 Second Rule was developed by Abraham-Hicks, a group of non-physical entities channeled through Esther Hicks.

Esther Hicks is a Law of Attraction teacher and author of the bestselling book Ask and It Is Given.

Step 1: Choose one thing to manifest

The first step to using the 17 Second Manifestation Method is to choose one thing to manifest.

You may have a million things you want to wear right now.

But as I teach in my manifestation course, the best way to manifest is to focus on one thing at a time.

Being crystal clear about a specific desire helps you cultivate the feeling of that experience and draw it into your reality.

Step 2: Visualize your desire

The second step to using the 17 Second Manifestation Method is to visualize how good it feels to experience your desire.

As I discuss in my manifestation book, Feeling Good, your energy creates your reality.

Therefore, it is important to remember that when it comes to manifestation, it is the emotion that attracts.

Of the 22 manifestation techniques available, the best way to get into the feel of what you wish to experience is through visualization.

Close your eyes and imagine how good it feels to experience your desire. Allow your mind to create visions of what you wish to manifest. Surrender to the creative power of your imagination.

You know your visualization is working when it feels good.

Allow this positive vibration to flow through your body, mind and spirit.

Allow your emotion to scale the Emotional Guidance Scale and vibrate with feelings of joy, love, and appreciation.

Step 3: Focus on the thought for 17 seconds

The third step in using the 17 Second Manifestation Method is to focus on that good feeling thought for 17 seconds.

Once you are in your comfort zone, start a timer on your phone for 17 seconds.

Close your eyes again and focus on all the positive feelings, emotions, and thoughts that come to mind.

You will find that it becomes easier and easier to reach for better feeling thoughts.

The law of attraction works here. When you focus on a thought for 17 seconds, you activate the vibration of the thought. This means that the vibration of the thought is strong enough to attract similar thoughts.

But your work is not done here! Abraham-Hicks says it takes 68 seconds for the vibration of thought to become strong enough to manifest into physical reality.

Step 4: Focus on the thought for 68 seconds

The fourth step to using the 17 Second Manifestation Method is to focus on the positive thought for 68 seconds, which means 3 more cycles of 17 seconds.

Set a timer for 51 seconds and bring your attention back to your desire.

Close your eyes and surrender to any positive feelings, emotions, and thoughts that come up.

Every 17 seconds you spend focusing on a thought amplifies its vibration even more.

By focusing on thought for 68 seconds, the vibration becomes strong enough to manifest on the physical plane.

Step 5: Let go and allow

The fifth step to manifesting in 17 seconds is to let go and allow the universe to do its thing.

After spending 68 seconds with the positive vibration of your desire, you are now in vibrational alignment with what you want.

This means that the Universe is conspiring to provide you with people, objects and situations that are vibrationally compatible with you.

Your only job is to be patient and receive what the universe has in store for you.

Be open and receptive to new opportunities that come your way.

Trust that your energy will do for you what you cannot do yourself.

Keep taking action while maintaining positive and high vibrational energy.

As you await your manifestation, keep your vibration high by using these I AM affirmations, prayers to the universe, or affirmation cards to detach from the outcome and keep your vibrational alignment with what you want.

Does Abraham-Hicks’ 17-second rule work?

Yes. Abraham-Hicks’ 17-second method works for manifesting.

It only takes 17 seconds of concentration to align with a thought, and it only takes 68 seconds of concentration on that thought to begin drawing its essence into your reality.

However, remember that this rule also applies to negative thoughts.

It only takes 17 seconds of doubt to align with and 68 seconds to attract the absence of your desire.

All in all, what you focus on continuously, you will attract. No exceptions.

Can you really manifest in 17 seconds?

Yes. Your manifestation can begin in 17 seconds. The key word here is begin.

All manifestation first began with a thought. That thought attracts similar thoughts, and those thoughts attract other thoughts.

As those thoughts become more and more powerful, they turn into a belief, and that is where you will begin to attract experiences that match your beliefs.

But remember, this rule also works in the opposite direction. It only takes 17 seconds of doubt to stop your manifestation.

How long does it take for the 17 second rule to manifest?

It takes exactly 17 seconds for the 17 second rule to take effect.

When you focus on a thought for 17 seconds, you activate the vibration of the thought.

And if you focus on one thought for 68 seconds, the vibration becomes strong enough to manifest in real life.

What is manifestation?

Is it possible to manifest something overnight?

Manifestation and the Law of Attraction has become a popular self-improvement tool for many people who long for a meaningful change in their lives. You will find stories upon stories of people declaring their successful manifestations that changed their lives. And whether you believe it or not, something must have happened for them to get the results they want. We know that hard work and alignment with your mission will lead to success over time. But what if you want a change now? Can you manifest something overnight? Manifestation comes from the Law of Attraction – that you receive and attract the energy you put out into the world. Although it has spiritual roots, many self-proclaimed manifesters today do not ascribe any deeper, spiritual meaning to the manifestation of their goals. In fact, there is a lot of conflicting information out there about how best to manifest, but they all have one basic principle: in order to manifest something, you must direct your life, actions, and energy toward it so that it can come true.

So how do we manifest something overnight, and is it even possible? This is a complicated question. Realistically, anything can happen overnight, and chances are there are people who manifested their desires overnight and got them. So it’s not impossible, but there’s plenty to do if you want to be one of those people.

Before we get into the steps you should take if you want to manifest something overnight, there is something fundamental to consider. Big changes don’t come overnight, so you need to be realistic about your expectations of an overnight manifestation.

For example, if you’ve never run more than a mile in your life and you’re trying to run a record-breaking marathon overnight, I hate to tell you, but it’s just not plausible.

So before you begin the manifestation process, you need to manage your expectations.

With that caveat out of the way, now comes the fun part.

Six effective tips for overnight manifestation

1. Be specific about your intentions

2. Write it down

3. Practice visualization

The clearer you are about what you want, the more likely you are to manifest it. You have to think carefully about what you want and why you want it. The manifestation theory states that if you are not specific enough, you will get what you asked for, but it might not be what you hoped or expected. Think of it like a genie granting a wish, taking you literally. So if you want to manifest money overnight, be specific about how much money you want to manifest and what you want it for. is much clearer than, “I want more money so I can buy something.” What better way to make your intentions known than to write them down? So grab your manifestation journal and, without skimping on the details, write down the specifics of what you want. Writing it down will also help you visualize what you want and make a plan for how you’re going to get it. Not to mention that it offers a clear statement of intent to the universe that you are ready to take whatever you want into your life.

Now that you have the details sorted out and written in your journal, it is time to envision this new reality that you desire.

Imagine you have the thing you are trying to manifest. What feeling does that evoke in you? How does it change your life? Think about it as if it has already happened.

As you begin to imagine that you have what you want, you begin to radiate the energy that you are ready to receive it.

4. Listen to mantra audios while sleeping

5. Faith

Mantras are a core practice in the Law of Affirmation and Manifestation. This is because mantras are statements of intent which, as we have seen, are essential to manifestation. However, if we want to manifest something overnight, we need to turn up the heat. This means that these mantras work even when we are asleep. A great way to do this is to find an audio recording of manifestations and play it while you sleep. Alternatively, you can record yourself saying mantras specific to you, which you can loop while you sleep. The idea behind this is that playing informative audio while you sleep allows the brain to store more information. It is a practice that has been used in a variety of applications, including study and hypnosis. When your brain keeps the mantras while you sleep, it means you are waking up with strong intention and will for your manifestations to take place.

You must believe with every fiber of your being for your manifestation to work.

It doesn’t just boil down to believing that it will happen. You have to believe that you are ready for this. That you want it and understand how it will change your life.

If you are in doubt as to what you want, you will not be in a place of alignment to obtain what you desire and therefore this is unlikely to happen.

6. Align your actions

Final thoughts on manifesting something overnight

Once what you have manifested comes about, your life will never be the same. Whether you aim for a small change or a big one, the way you live your life will also change. Therefore, in preparation, you need to make sure that from the moment you are clear about what you want, you act on it. For example, when trying to manifest a new job opportunity, sitting around and being unproductive will likely help . Manifesting something overnight is a huge challenge and certainly not a guarantee no matter how hard you try. But if you follow the six steps with this post, you will put yourself in the best position to try. But whether it happens overnight or not, never stop pursuing the things you want in life!

luxury vehicles! Branded clothing and accessories! Weekend in the Maldives!

Sounds like a dream right?

However, did you know that you can make this dream a reality? You can have it all, including the man of your dreams.

With the power of manifestation, you can have everything you desire and more in just 5 days.

5 days! Is that possible?

Yes it is possible if you know how to use the 555 manifestation method.

Manifestation and the Law of Attraction

Speaking of manifestation, we cannot exclude the discussion of the Law of Attraction (LOA).

According to the principle of LOA, our thoughts have the power to manifest whatever we desire in life.

The principles of the Law of Attraction define its relationship to manifestation.

define manifestation

If you look up the dictionary, there are many definitions of manifestation. The best I’ve come across is that manifestation is “the evidence of the reality of something.”

So what does it mean?

It means that everything tangible and intangible in my life is a manifestation.

The Law of Attraction

The Law of Attraction is based on the philosophy that reality is the product of our thoughts. In this case, everything we are in the present is the product of our thoughts in the past. Whatever seed we have planted in our mind, it will manifest in the future.

How can the Law of Attraction manifest money, love, or anything we desire?

LOA works according to three rules:

Like attracts like

Nature abhors emptiness

Our present is always perfect

Like attracts like. Although the principle of polarity says the opposite, it is not always the case.

Have you noticed that you tend to be friends with people who have similar traits to yours? An athletic person tends to hang out with other athletic people.

Nature abhors empty space. We have learned in science that it is not possible. Atoms jump around to instantly fill any vacuum. This is the law of thermodynamics.

Our present is always perfect. Many would disagree, but that’s true. You have the power to transform your present through gratitude.

The world may be full of troubles but we have many things we can still be thankful for like the air we breathe, the flowers and trees, the family we have and more.

When you apply LOA in your life, you can manifest anything you desire.

The 555 manifestation method

You can use any powerful manifestation technique. The most traditional manifestation techniques include visual boards, intention journals, focus wheel, sensory visualization, and many more.

The recently introduced Modern Method of Manifestation includes the 369 Manifestation Method inspired by Nikola Tesla and the 555 Manifestation Formula, which is very popular with LOA devotees.

555 method has become more and more popular due to its simplicity, short time frame, quick results and effectiveness.

You want to know more.

What is the 555 Manifestation Formula?

The formula is: Write what you wish for 55 times in 5 consecutive days. That’s a total of 275 times in 5 days.

This manifestation technique is not complicated and easy to understand. The 555 Method rationalizes the thoughts of your subconscious.

Our subconscious cannot filter all the information that goes through our heads. The subconscious absorbs all information and stores it until it becomes habit.

The goal of this method is to transform your thought patterns and align them with the energy frequency of your highest desire.

The meaning of the number 5

You are probably wondering why the number 5. What is the meaning of this number?

The number 5 is associated with transformation, change and realignment. Those associated with the number 5 are somewhat temperamental but adaptable to change.

They have a higher sense of perception, which allows our energy frequencies to work efficiently. The number 5 can signify letting go of the past and welcoming future possibilities. This increases the power of our intention.

Well, the next question is how to manifest?

With the 555 method

Many say it’s just a 3 step process. Not for me. The method is simple and easy to follow, but manifesting is not magic.

If you want your desire to manifest, you must work for it.

You must act.

Step 1 Set your intention.

Your intention is what you desire most.

Do you remember the principle of goal setting?

Don’t start with something big to set your goal. Set small goals at first until you reach your ultimate goal. You apply the same principle when setting your intent.

Make a list of all your desires if you have many.

Be precise.

Pick one from your list and focus on it.

For example, your intention is to have wealth. That’s too wide. Think about how you define wealth. Do you have a specific thing in mind that will help you manifest wealth?

So how do you do it specifically? Start with a smaller intention. Some examples of positive manifestations:

I aim to make a million by the end of the year.

I will bring my business a 15% increase in profits.

I will expand my target market by next quarter.

I will expand my sales channel in the region.

Don’t you think making a million in a year is more realistic than saying you want to manifest wealth in your life?

Your desire should inspire you to bring happiness to yourself and others. Don’t choose ones that would simply boost your ego or out of fear.

Step 2 Choose your diary

This may not matter that much to some, but choosing the right one does matter.

Why?

The diary is your book of records. There you write your chosen intention 55 times for 5 days. You can choose to use a single journal or a full journal.

A single diary is like an ordinary record book. All you can write there is your intention following the 555 manifestation formula.

A full journal has space to write down your intentions as well as a section that would help you express appreciation, gratitude, and love.

The additional section contains the gratitude list to show gratitude for things you have. It contains questions or phrases that evoke appreciation.

There should also be space to make a list of people and things you love. Your manifestation journal should make you feel grateful and appreciative.

When your energy vibrates at a positive frequency, you can harness the positive vibration of your desire all the more.

Step 3 Intent in Affirmation

Turn your intention into a positive affirmation. Your affirmation is your mantra. Your affirmations should attract the positive energy of what you desire. It should include the following criteria:

Short and on point.

It should express gratitude and appreciation.

It should be written in the present tense.

Recite it as if you already have it.

In our example, you want to make a million at the end of the year. Try these examples of wealth affirmations.

I am grateful that my business is doing well.

I’m thankful for the opportunities that knock on my door.

I appreciate my customers for their continuous support.

I am happy to live in abundance of wealth.

Incredibly, my income keeps increasing.

I’m not saying to use all of these affirmations. Just pick one that appeals to you.

Step 4 Scripting

In LOA, scripting is about writing what you want to manifest as if you already own it. It’s like a journal or a script of your future life, but live it in the present. You write the script repeatedly in a diary.

This is where you apply the 555 manifestation formula. Write your chosen affirmation in your journal 55 times for 5 days.

Writing down your affirmation is similar to the traditional manifestation meditation technique, except that you write it down instead of reciting it.

A point to remember. Find a quiet place to write, as if you were meditating. This will help you be more focused. You can also recite the affirmation as you write it.

Step 5 Let it go

Letting go doesn’t mean forgetting or giving up on your affirmation. Letting go means not obsessing about the outcome.

Trust in the power of the universe to grant what you want. Negativity kicks in the more you think about the outcome. Remember that you must maintain positive thoughts and eliminate negative thoughts.

Keep your mind clear to see opportunities that come your way. Don’t ignore signs of new opportunities because they come at you for a reason.

Thinking too much about the outcome can create doubt. You would start to feel lacking and become anxious. These feelings negatively affect your manifestation.

If your desire manifests itself 5 days ago, do not stop. Just keep going until you’re done. A much bigger thing could be coming your way.

Don’t get stressed if your craving doesn’t manifest itself after 5 days. just let it go The universe works by itself.

Some afterthoughts

The principle of the 555 manifestation method is no different from the other manifestation tools. They work on the principle that positive energy frequencies are sent to our subconscious to attract the positive vibrations of our desire.

However, this is not magic where you simply write your affirmations 55 times and they manifest in 5 days. That will not do.

This manifestation technique is just a tool. It is a tool that can help you transform your subconscious and change your beliefs.

You cannot manifest anything out of nothing. You must act. You have to invest time and energy.

If you want to make a million dollars by the end of the year, you can’t just make a wish by writing it down. You have to react to it.

You have to work harder for your business to increase profits. Accept all opportunities that come your way.

You can’t just write it down and then sit in a corner and wait for something to happen. That’s not how it works.

Remember the words of Thomas Edison: “Success is 10% inspiration and 90% perspiration.”

Increase your chances of success and get on the fast track with the following proven manifestation programs:

Would you like to use the 33×3 manifestation method to manifest what you want? Follow this blog post to learn how to use the 33×3 method in 5 steps.

The 33×3 manifestation method requires you to write an affirmation 33 times for 3 days to manifest your desire.

Through the Law of Attraction, energies that are vibrationally aligned are drawn to one another like a magnet.

So by repeatedly writing down a positive affirmation, you become a vibrational partner for what you want and draw it into your life.

Follow these 5 steps and use the 33×3 manifestation method to manifest what you want.

Step 1: Choose one thing to manifest

The first step to using the 33×3 manifestation method is to write down one thing that you want to manifest.

As I teach in my manifestation course, the first step to manifesting is to be clear about what you want.

Being crystal clear about what you want helps you cultivate the feeling of that experience and draw it into your reality.

Take out your manifestation journal and write down exactly what you wish to manifest at that time.

For example, if you want a new job, write “I want to manifest a new job.” at the top of your page.

Knowing what you want will help you choose an affirmation that is relevant and specific to your situation.

Step 2: Clarify your intentions

The second step in using the 33×3 Manifestation Method is to clarify your intentions.

Why do you want to manifest this desire?

As I explain in my book on manifesting, Feeling Good, affirmations work best when tied to a positive feeling or emotion.

Since your energy creates your reality, it is important to remember that when it comes to manifestation, it is the emotion that attracts.

Go back to the previous example and ask yourself: how do you feel when you manifest a new job?

Refer to the Emotional Leadership Scale to select emotions that have a high vibration.

Do you feel good? Or are you feeling inspired? Maybe you’re feeling passionate?

Write down all the positive emotions your desire evokes in you.

For example, if you’re looking for a new job that aligns with your passion, write “I want to manifest a new job so I can get excited about what I do” at the top of your page.

Step 3: Choose a positive confirmation

The third step to using the 33×3 Manifestation Method is to choose a positive affirmation that connects your desire to your positive emotions.

You can search my affirmation archive and choose an affirmation that resonates with you, or you can create your own affirmation.

It’s entirely up to you.

If you’ve followed steps 1 and 2, you’re basically halfway to creating your own affirmation.

Connect your desire to the positive emotion you want to feel and you have validation!

I suggest you put feeling before desire so you can emphasize the energy you want to cultivate.

Instead of writing, “I want to manifest a new job so I can get excited about what I do.”

You can write, “I’m excited about what I’m doing at my new job every day” or “I feel so lucky to be doing what I love about my new job.”

The more positive energy you channel into your affirmation, the closer you are to achieving vibrational alignment with your desire.

Through the Law of Attraction, energies that are vibrationally aligned are drawn to one another like a magnet.

So the more you feel the emotion you want to manifest, the closer you are to manifesting it in your reality.

Step 4: Write the affirmation 33 times for 3 days

The fourth step to using the 33×3 manifestation method is to write your affirmation 33 times for 3 days in a row.

This may seem like a lot, but it is a powerful way to raise your energetic vibration.

Each time you write the affirmation down, you become more vibrationally aligned with your desire.

So if you write it down 33 times, you’re 33 times more aligned than when you started.

But the secret to getting the most out of the 33×3 method is to not only write your affirmation, but to feel it.

Let the positive message boost your energy. Imagine how good it feels like the affirmation is already true. Allow high-vibrating emotions to take over your body, mind and spirit.

You can draw more positivity from your affirmation by saying it out loud after you’ve written it, or by closing your eyes to think about it.

You can also follow your 33×3 method with a visualization meditation. The visualization will help you channel your affirmation as if it has already come true.

Step 5: Be patient with your manifestation

The last step to using the 33×3 manifestation method is to be patient with your manifestation.

After writing your affirmation 33 times for 3 days, you are now in vibrational alignment with your desire.

Which means that your desire will manifest itself in the near future.

So all you have to do is let go and allow the universe to provide the result that is right for you.

Don’t make the mistake of continuing to write your affirmations! The whole point of the 33 × 3 method is to help you achieve vibrational alignment with your desire quickly.

If you feel the need to keep writing, it is a sign that you are manifesting manically, which is one of the four main blocks of your power of manifestation.

Trust that the work you have put in over the past 3 days is enough to inspire your desires.

To avoid manifestation burnout, you can try other manifestation practices like I AM affirmations, prayers to the universe, or affirmation cards.

When you change your practice of manifestation, the journey of manifestation becomes so much more fun and enjoyable.

And when you feel good, you become a magnet for miracles.

Sou formed in Letras português e Inglês. Atualmente trabalho como redator em Alguns sites e, eventualmente, dou aulas de português para strangers. Já ministrei aulas de Inglês para os cursos de extended da Universidade Estadual de Minas Gerais e já atuei em escolas como estagiário e servente escolar. A educação e a escrita são minhas grandes paixões.

Lottery mathematics is used to calculate probabilities of winning or losing a lottery game. It is primarily based on combinatorics, in particular the twelve-fold path and combinations without substitutes.

Probabilities of winning or losing a lottery game

Choice of 6 out of 49 [ edit ]

In a typical 6/49 game, each player chooses six different numbers from a range of 1-49. If the six numbers on a ticket match the lottery numbers drawn, the ticket holder is a jackpot winner, regardless of the order of the numbers. The probability of this happening is 1 in 13,983,816.

The chance of winning can be demonstrated as follows: The first number drawn has a 1 in 49 chance. When the second number is drawn, there are now only 48 balls in the bag because the balls are drawn without being replaced. So there is now a 1 in 48 chance of predicting that number.

Thus, for each of the 49 ways to choose the first number, there are 48 different ways to choose the second. This means that the probability of correctly predicting 2 numbers drawn out of 49 in the right order is 1 in 49 × 48. When drawing the third number, there are only 47 ways to choose the number; but of course we could have reached this point in 49 × 48 ways as well, so the probability of correctly predicting 3 numbers drawn out of 49, again in the correct order, is 1 in 49 × 48 × 47. This lasts until the 6th number has been found is drawn, giving the final calculation, 49 × 48 × 47 × 46 × 45 × 44, which can also be written as 49! ( 49 − 6 ) ! {\displaystyle {49! \over (49-6)!}} or 49 factorial divided by 43 factorial. This gives 10,068,347,520, which is much larger than the ~14 million given above.

However; the order of the 6 numbers is not significant. This means that if a ticket has the numbers 1, 2, 3, 4, 5 and 6, it wins as long as all numbers 1 to 6 are drawn, no matter what order they come out in. Accordingly, given any set of 6 numbers, there are 6 × 5 × 4 × 3 × 2 × 1 = 6! or 720 orders in which they could be drawn. Dividing 10,068,347,520 by 720 gives 13,983,816, also written as 49! 6 ! ∗ ( 49 − 6 ) ! {\displaystyle {49! \over 6!*(49-6)!}} , or more generally than

( n k ) = n ! k! ( n − k ) ! {\displaystyle {n \choose k}={n! \over k!(n-k)!}} binomial coefficient and multinomial coefficient.

This function is called the combination function. For the rest of this article we will use the notation ( n k ) {\displaystyle {n \choose k}} . “Combination” means the group of numbers selected, regardless of the order in which they were drawn.

An alternative method of calculating the odds is to note that the probability that the first ball will match any of the six balls chosen is 6/49; the probability that the second ball corresponds to one of the remaining five chosen is 5/48; etc. This gives a final formula of

( n k ) = ( 49 6 ) = 49 6 ∗ 48 5 ∗ 47 4 ∗ 46 3 ∗ 45 2 ∗ 44 1 {\displaystyle {n \choose k}={49 \choose 6}={49 \over 6}* {48 \over 5}*{47 \over 4}*{46 \over 3}*{45 \over 2}*{44 \over 1}}

The range of possible combinations for a particular lottery can be referred to as a “number space”. “Coverage” is the percentage of a lottery’s number space that is in play for a particular draw.

Chances of other choices when picking 6 out of 49[edit]

One must divide the number of combinations that produce the given result by the total number of possible combinations (e.g. ( 49 6 ) = 13 , 983 , 816 {\displaystyle {49 \choose 6}=13,983,816} ). The numerator equals the number of ways to pick the winning numbers multiplied by the number of ways to pick the losing numbers.

For a score of n (for example, if 3 choices match 3 of the 6 balls drawn, then n = 3), ( 6 n ) {\displaystyle {6 \choose n}} describes the probability of choosing n winning numbers from the 6 winning numbers. This means that there are 6 – n loser numbers, which are chosen from the 43 loser numbers in ( 43 6 − n ) {\displaystyle {43 \choose 6-n}} ways. The total number of combinations giving this result is, as stated above, the first number multiplied by the second. The expression is therefore ( 6 n ) ( 43 6 − n ) ( 49 6 ) {\displaystyle {6 \choose n}{43 \choose 6-n} \over {49 \choose 6}} .

This can be written in general terms for all lotteries as:

( K B ) ( N − K K − B ) ( N K ) {\displaystyle {K\choose B}{N-K\choose K-B} \over {N\choose K))

where N {\displaystyle N} is the number of balls in the lottery, K {\displaystyle K} is the number of balls in a single ticket, and B {\displaystyle B} is the number of matched balls for a winning ticket.

The generalization of this formula is called the hypergeometric distribution.

This gives the following results:

Scoring Exact probability Approximate decimal probability Approximate 1/probability 0 ( 6 0 ) ( 43 6 ) ( 49 6 ) {\displaystyle {6 \choose 0}{43 \choose 6} \over {49 \choose 6}} 435,461/ 998,844 0.436 2.2938 1 ( 6 1 ) ( 43 5 ) ( 49 6 ) {\displaystyle {6 \choose 1}{43 \choose 5} \over {49 \choose 6}} 68.757/166.474 0.413 2.4212 2 ( 6 2 ) ( 43 4 ) ( 49 6 ) {\displaystyle {6 \choose 2}{43 \choose 4} \over {49 \choose 6}} 44.075/332.948 0.132 7.5541 3 ( 6 3 ) ( 43 3 ) ( 49 6 ) {\displaystyle {6 \choose 3}{43 \choose 3} \over {49 \choose 6}} 8.815/499.422 0.0177 56.66 4 ( 6 4 ) ( 43 2 ) ( 49 6 ) {\displaystyle {6 \choose 4 {43 \choose 2} \over {49 \choose 6}} 645/665,896 0.000969 1,032.4 5 ( 6 5 ) ( 43 1 ) ( 49 6 ) {\displaystyle {6 \choose 5}{43 \choose 1} \ over {49 \choose 6}} 43/2,330,636 0.0000184 54,200.8 6 ( 6 6 ) ( 43 0 ) ( 49 6 ) {\displaystyle {6 \choose 6}{43 \choose 0} \over {49 \choose 6}} 1/13,983,816 0.0000000715 13,983,816

If a bonus number is included, the adjusted odds are:[1]

Point calculation Exact probability Approximate decimal probability Approximately 1/probability 5, bonus not won ( 6 5 ) ( ( 43 − 1 ) 1 ) ( 49 6 ) {\displaystyle {6 \choose 5}{(43-1) \choose 1 } \ over {49 \choose 6}} 0.0000180208 55,491.33 5, bonus won ( 6 5 ) ( ( 43 − 1 ) ( 1 − 1 ) ) ( 49 6 ) {\displaystyle {6 \choose 5}{(43 -1 ) \choose (1-1)} \over {49 \choose 6}} 0.0000004291 2,330,636

Win the jackpot[edit]

There is only one known way to ensure winning the jackpot. This means buying at least one lottery ticket for every possible combination of numbers. For example, you have to buy 13,983,816 different tickets to win the jackpot in a 6/49 game.

Lottery organizations have laws, rules and safeguards in place to prevent players from conducting such an operation. Furthermore, simply winning the jackpot by buying all possible combinations does not guarantee a break even or a win.

If p {\displaystyle p} is the probability of winning; c t {\displaystyle c_{t}} the cost of a ticket; c l {\displaystyle c_{l}} the cost of purchasing a ticket (e.g. including logistics); c f {\displaystyle c_{f}} One-time costs for the operation (such as setting up and running the operation); then the jackpot should contain at least m j {\displaystyle m_{j}}

m j ≥ c f + c t + c l p {\displaystyle m_{j}\geq c_{f}+{\frac {c_{t}+c_{l}}{p}}}

to at least break even.

The theoretical “chance to break even” point above is easily offset by the sum of the small wins that are also included in all lottery tickets:

m j ≥ c f + c t + c l p − ∑ i m i {\displaystyle m_{j}\geq c_{f}+{\frac {c_{t}+c_{l}}{p}}-\sum _{i }{ }m_{i}}

However, even if the above relationship is satisfied, it does not guarantee a breakeven point. The payout depends on the number of winning tickets for all prizes n x {\displaystyle n_{x}}, which results in the relation

m j n j ≥ c f + c t + c l p − ∑ i m i n i {\displaystyle {\frac {m_{j}}{n_{j}}}\geq c_{f}+{\frac {c_{t}+c_ {l}} {p}}-\sum _{i}{}{\frac {m_{i}}{n_{i}}}}

In what are probably the only known successful operations[2], for reasons unknown, the threshold to perform an operation has been set at three times the ticket cost alone

m j ≥ 3 × c t p {\displaystyle m_{j}\geq 3\times {\frac {c_{t}}{p}}}

i.e.

n j p c t ( c f + c t + c l p – – ∑ i m i n i ) ≪ 3 {\displaystyle {\frac {n_{j}p}{c_{t}}}\left(c_{f}+{\frac { c_{t}+ c_{l}}{p}}-\sum _{i}{}{\frac {m_{i}}{n_{i}}}\right)\ll 3}

However, this does not eliminate all risks of not making a profit. The success of the operations still depended on a bit of luck. In addition, the logistics failed in one process and not all combinations could be procured. This increased the risk of not even winning the jackpot.

Powerballs and bonus balls[ edit ]

Many lotteries have a power ball (or “bonus ball”). If the Powerball is drawn from a number pool other than the main lottery, the odds are multiplied by the number of Powerballs. For example, in the 6 out of 49 lottery, if there were 10 Powerball numbers, the odds of getting a score of 3 and getting the Powerball would be 1 in 56.66 × 10, or 566.6 (probability would be divided by 10 to get an exact number receive). value of 8815 4994220 {\textstyle {\frac {8815}{4994220}}} ). Another example of such a game is Mega Millions, albeit with different jackpot odds.

If more than 1 Powerball is drawn into the main lottery from a separate ball pool (e.g. in the EuroMillions game), the odds of the various possible Powerball matching outcomes are calculated using the method described in the Other Outcomes section above (with in other words, the Powerballs are like their own mini lottery) and then multiplied by the odds to reach the required main lottery score.

If the Powerball is drawn from the same number pool as the main lottery, then the number of winning combinations for a given target score will include the Powerball. In games based on the Canadian Lottery (e.g. the UK Lottery), after the 6 main balls have been drawn, an additional ball is drawn from the same ball pool, which becomes the Powerball (or “Bonus Ball”). . An additional prize is awarded for 5 matching balls and the bonus ball. As described above in the Other Scores section, the number of ways a single ticket can get a score of 5 is ( 6 5 ) ( 43 1 ) = 258 {\textstyle {6 \choose 5}{43 \choose 1}=258} . Since the number of balls remaining is 43 and the ticket has 1 unmatched number remaining, 1/43 of those 258 combinations will match the next ball drawn (the Powerball), leaving 258/43 = 6 ways to match this. Therefore, the odds of a score of 5 and the Powerball are 6 ( 49 6 ) = 1 2 , 330 , 636 {\textstyle {6 \over {49 \choose 6}}={1 \over 2,330,636}} .

Of the 258 combinations that match 5 of the 6 main balls, in 42/43 of them the remaining number does not match the Powerball, which is odds of 258 × 42 43 ( 49 6 ) = 3 166 .474 ≈ 1.802 × 10 − 5 gives {\textstyle {{258\cdot {\frac {42}{43}}} \over {49 \choose 6}}={\frac {3}{166.474}}\approx 1.802\times 10^{ -5} } for getting a score of 5 without hitting the Powerball.

Using the same principle, the odds of a score of 2 and the Powerball are ( 6 2 ) ( 43 4 ) = 1 , 851 , 150 {\textstyle {6 \choose 2}{43 \choose 4}=1,\ ! 851,\!150} for the score 2 multiplied by the probability that one of the remaining four numbers matches the bonus ball, i.e. 4/43. Since 1 .851 .150 ⋅ 4 43 = 172 .200 {\textstyle 1.851.150\cdot {\frac {4}{43}}=172.\!200} , the probability of getting the score 2 and the bonus ball is 172 , 200 ( 49 6 ) = 1025 83237 = 1.231 % {\textstyle {\frac {172.200}{49 \choose 6}}={\frac {1025}{83237}}=1.231\%} , approximate decimal odds of 1 in 81.2.

The general formula for B {\displaystyle B} matching balls in a N {\displaystyle N} choose K {\displaystyle K} lottery with a bonus ball from the N {\displaystyle N} pool of balls is:

K – B N – K ( K B ) ( N – K K – – B ) ( N K ) {\displaystyle {\frac {{\frac {K-B}{N-K}}{K \choose B}{N-K \choose K-B}}{N \choose K}}}

The general formula for B {\displaystyle B} matching balls in a N {\displaystyle N} choose K {\displaystyle K} lottery with zero bonus ball from the N {\displaystyle N} pool of balls is:

N − K − K + B N − K ( K B ) ( N − K K − B ) ( N K ) {\displaystyle {N-K-K+B \over N-K}{K\select B}{N-K \select K-B}\ over { N \choose K}}

The general formula for matching B {\displaystyle B} balls in a N {\displaystyle N} choose K {\displaystyle K} lottery with a bonus ball from a separate pool of P {\displaystyle P} balls is:

1 P ( K B ) ( N − K K − B ) ( N K ) {\displaystyle {1 \over P}{K\choose B}{N-K \choose K-B} \over {N\choose K))

The general formula for matching B {\displaystyle B} balls in a N {\displaystyle N} choose K {\displaystyle K} lottery without a bonus ball from a separate pool of P {\displaystyle P} balls is:

P − 1 P ( K B ) ( N − K K − B ) ( N K ) {\displaystyle {P-1 \over P}{K\select B}{N-K \select K-B} \over {N \select K }}

Minimum number of tickets for a game [ edit ]

It is a difficult (and often open) problem to calculate the minimum number of tickets one must purchase to guarantee that at least one of those tickets will match at least 2 numbers. In the 5 out of 90 Lotto, the minimum number of tickets that can guarantee a ticket with at least 2 games is 100.[3]

Results of information theory[edit]

As a discrete probability space, the probability of a given lottery outcome is atomic, meaning it is greater than zero. Therefore, the probability of an event is the sum of the probabilities of the event’s outcomes. This makes it easy to calculate quantities of interest from information theory. For example, the information content of any event can be easily calculated using the formula

i ⁡ ( E ) := − log ⁡ [ Pr ( E ) ]] = − log ⁡ ( P ) . {\displaystyle \operatorname {I} (E):=-\log {\left[\Pr {\left(E\right)}\right]}=-\log {\left(P\right)}.}

In particular, the information content of the result x {\displaystyle x} is a discrete random variable X {\displaystyle X}

I X ⁡ ( x ) := − log ⁡ [ p X ( x ) ]] = log ⁡ ( 1 p X ( x ) ) . {\displaystyle \operatorname {I} _{X}(x):=-\log {\left[p_{X}{\left(x\right)}\right]}=\log {\left({\ frac {1}{p_{X}{\left(x\right)}}}\right)}.}

For example, winning in the example § Choosing 6 out of 49 above is a Bernoulli distributed random variable X {\displaystyle X} with a chance of winning 1/13,983,816 (“success”). We write X ∼ B e r n o u l l i ( p ) = B ( 1 , p ) {\textstyle X\sim \mathrm {Bernoulli} \!\left(p\right)=\mathrm {B} \!\left(1,p \right)} with p = 1 13 , 983 , 816 {\textstyle p={\tfrac {1}{13,983,816}}} and q = 13 , 983 , 815 13 , 983 , 816 {\textstyle q={\tfrac {13,983,815}{13,983,816}}} . The information content of winning is

I X ⁡ ( win ) = − log 2 ⁡ p X ( win ) = − log 2 1 1 13 , 983 , 816 ≈ 23.73725 {\displaystyle \operatorname {I} _{X}({\text{win} })=- \log _{2}{p_{X}{({\text{win}})}}=-\log _{2}\!{\tfrac {1}{13,983,816}}\approx 23 .73725}

I X ⁡ ( lose ) = − log 2 ⁡ p X ( lose ) = − log 2 13 , 983 , 815 13 , 983 , 816 ≈ 1.0317 × 10 − 7 Shannons . {\displaystyle {\begin{aligned}\operatorname {I} _{X}({\text{lose}})&=-\log _{2}{p_{X}{({\text{lose}} ) )}}=-\log _{2}\!{\tfrac {13,983,815}{13,983,816}}\\&\approx 1.0317\times 10^{-7}{\text{ shannons}}. \end{aligned} }}

The information entropy of a lottery probability distribution can also be easily calculated as the expected value of the information content.

H ( X ) = ∑ x − p X ( x ) log ⁡ p X ( x ) = ∑ x p X ( x ) i X ⁡ ( x ) = d e f E [ i X ⁡ ( x ) ] {\displaystyle {\ begin {alignedat }{2}\mathrm{H}(X)&=\sum _{x}{-p_{X}{\left(x\right)}\log {p_{X}{\left(x \right) }}}\ &=\sum _{x}{p_{X}{\left(x\right)}\operatorname {I} _{X}(x)}\\&{\overset {\ underset {\ mathrm {def} }{}}{=}}\ \mathbb {E} {\left[\operatorname {I} _{X}(x)\right]}\end{alignedat}}}

Often the random variable of interest in the lottery is a Bernoulli trial. In this case the Bernoulli entropy function can be used. Using X {\displaystyle X} representing winning the 6-of-49 lottery, the Shannon entropy of 6-of-49 is above

H ( X ) = − p log ⁡ ( p ) − q log ⁡ ( q ) = − 1 13 , 983 , 816 log 1 13 , 983 , 816 − 13 , 983 , 815 13 , 983 , 816 log 13 , 983 , 815 13 , 983 , 816 ≈ 1.80065 × 10 − 6 Shannons. {\displaystyle {\begin{aligned}\mathrm{H} (X)&=-p\log(p)-q\log(q)=-{\tfrac {1}{13,983,816}}\log \!{ \tfrac {1}{13,983,816}}-{\tfrac {13,983,815}{13,983,816}}\log \!{\tfrac {13,983,815}{13,983,816}}\\&\about 1 .80065\times 10^{-6}{\text{ Shannons.}}\end{aligned}}}