How to Win Lotto 6/49 According To Math

Last updated on March 24, 2024

A truly random lottery game obeys the dictate of probability. Therefore, to learn how to win Lotto 6/49, you must understand how balls behave in a random draw and the game’s possible outcome according to the law of large numbers.

This article will explore mathematical strategies you can apply to get the best shot possible. Superstitions, lucky numbers, hot and cold numbers, and your psychic friend will not help. Mathematics remains the only tool you can use to get the best shot possible.

That said, let’s start with the odds of the game.

The Odds of Winning a Lotto 6/49 Game

First, let’s talk about why winning the lottery is difficult. Building a sensible strategy that works will be much easier if you know the obstacle that’s crippling you.

A Lotto 6/49 game has 13,983,816 playable combinations. So, if you play one ticket per game, your probability of winning is one in almost 14 million chances.

You cannot manipulate the probability.

You cannot beat the odds.

Mathematically speaking, buying more tickets is the only way to increase your chances of winning.

For example, if you buy two tickets, your chance gets improved by 1 in 7 million. If you buy ten tickets, the probability of winning becomes 1 in 1,398,382.

According to the official website of the Canada Lotto 6/49 game, the odds of winning any prize are 1 in 6.6.¹

So, the probability that a single ticket is not a prizewinner is 0.8485. The probability of losing with n number of tickets is this number raised to the nth power. For example, if you buy two tickets, the probability that you lose twice is calculated in the following way:

P_{(losing twice)} = 0.8485^{2 tickets}

You must buy at least four tickets for a 50-50 chance of winning any prize.² Since P_{(losing twice)} is complementary to P_{(winning any prize)}, we can calculate the number of tickets we must buy to ensure 99.99% of winning any prize. Thus:

P_{(winning any prize)} = 1 – 0.8485^{56 tickets} = 0.9999

It’s not easy to win Lotto 6/49

Be mindful, though, that based on the odds and prizes scheme of the Canada Lotto 6/49 game, the probability is leaning toward winning the lowest-tier prize. In this case, this 99.99% guarantee will most likely give you free play.

Of course, any ticket you buy will give you a special privilege to win the jackpot. However, you must understand that it’s not easy.

Buying a Canada Lotto 6/49 game ticket guarantees a 99.999992848% chance of losing the jackpot. So, your probability of losing twice in a row is this number squared.

P_{(losing the jackpot twice)} = 0.99999992848^{2 tickets}

To reach at least a 50/50 chance of winning the jackpot prize, you must play 9,692,842 times. So, in a lottery game, perseverance is an important virtue.

If you want to win the lottery, you may follow certain mathematical strategies that I will suggest below.

For now, you must realize that winning a 6/49 game is so monumental. You probably should play Lotto 6/49 for entertainment only and never consider it your last resort to your money worries.³

Win the Lotto 6/49 Game Using Math

Buying more tickets can be useless if you’re not careful with your number selection strategy.⁴

For example, you probably will not see any success if you buy tickets with the following numbers:

The above combinations are not the most sensible choices you can make for yourself as a lotto player.

These non-random combinations are not impossible in a lottery draw, but realize that they are improbable. It takes a large number of draws to see one of them occurring.⁵

Incidentally, many lotto players will insist that it doesn’t matter what combinations you play because all combinations have the same probability.

That is true, but you have to look at the lottery game in a different light to get the best shot possible.

So I ask this question: “Will you spend your money on those combinations?“

Chances are they won’t.

Gut feelings take over.

Gut feeling shouldn’t be superior to mathematical reasoning.

If you believe that all numbers are equally likely, then why fret?

In short, there should be a mathematical explanation for why you shouldn’t pick numbers in a certain way. Read on: How to Win the Lottery According to Math

When playing the lottery, the important thing is that you are making informed choices based on mathematical calculations and not through gut feelings.

They say people are more likely to get killed by a shark than win the lottery. Of course, the probability is zero if you don’t swim in the ocean.⁶

The lottery is the same. My first tip on how to win Lotto 6/49 is to be in it to win it.

So, how would you be able to choose six numbers and get the best shot possible?

The answer is in the success-to-failure ratio.⁷

Understanding Your Ratio of Success to Failure

Hot and cold numbers don’t exist because all numbers will average the same expected value under the law of large numbers. So, if you notice some numbers are drawn more often than others in the past 100 draws, this will change when lottery draws get larger because those less frequently occurring numbers will catch up soon until all numbers are even out.

Likewise, all combinations have the same chance of occurring because only one can win the jackpot. That means even a combination such as 1-2-3-4-5-6 has the same probability. This probability is expressed mathematically as:

The same formula applies to 2-4-6-8-10-12 or 5-10-15-20-25-30. So, when you think about it, you can do nothing to improve your game.

But that’s not accurately true.

When you look at a problem and see the things you cannot control, you might also consider looking at the things you can control easily.

And here’s how the idea of measuring the odds comes in handy.

In mathematics, odds and probability are different and not mathematically equivalent.⁸,⁹

Odds are expressed this way:

In simple terms, probability measures an event’s likelihood, while the odds describe the ratio of success to failure.

And that’s how mathematical strategy exists.

As a Lotto 6/49 player, you can calculate all the possibilities and make an intelligent decision by choosing the option that will give you the best ratio of success to failure.

Let me illustrate how it works.

Combinations are not created equally. Combinations may vary in composition. Since there are composition variations, combinatorial groups with varying success-to-failure ratios exist.¹⁰

There are 134,596 ways to combine six numbers using a 6-even composition (no odd numbers). This group will give you only one favorable shot at winning the Lotto 6/49 game’s 100 draws.

There are 4,655,200 ways to combine numbers using the 3-odd-3-even composition. This group will give you 33 favorable shots in every 100 attempts.

Let’s compare the two groups side by side to gain a better perspective on their differences in terms of their success-to-failure ratios.

0-odd-6-even VS 3-odd-3-even

Calculated using Lotterycodex Calculator

As you can see, the strategy is not to measure the probability. The strategy lies in counting the number of favorable shots you get based on the composition of your combination.

Here in Lotterycodex, this favorable shot is expressed mathematically as the success-to-failure ratio.

Think about this.

According to probability theory, a random lottery game distributes the probability fairly across these two sets of odd and even numbers. The game will favor neither the even group nor the odd group.¹¹

This probability behavior indicates that in a truly random Lotto 6/49 game, a combination composed of purely even numbers is rare.

A true mathematical strategy is choosing the best option to give you more favorable shots. In short, it’s knowing your ratio of success to failure.

Here at Lotterycodex, we use Lotterycodex templates to simplify the number selection process based on the success-to-failure ratio that works for you.

How to Pick the Best Numbers in Lotto 6/49

Your method should be better than odd-even or low-high compositions to play the Lotto 6/49 game with the best ratio of success to failure.

There are 84 templates in Lotterycodex for the Lotto 6/49 game. Only three templates are dominant and exhibit the best success-to-failure ratios.

Generated by Lotterycodex Calculator

From the table above, Lotto 6/49 players should focus on the dominant templates.

We are not saying the rest of the templates will not occur. We say they give you less favorable shots based on their success-to-failure ratios.

We suggest not betting on them.

However, many lotto players are not aware of these compositions. They select combinations with very poor success-to-failure ratios and don’t even know it.

These Lotterycodex templates will guide you in making informed choices.

How to Win the Lotto 6/49 Game

Let me repeat that buying multiple tickets is the only way to increase your odds of winning. However, you must buy tickets strategically to make this strategy more effective. Buying tickets randomly is less effective than buying tickets using a lottery wheel.

The Lotterycodex calculator is the only lottery wheel that separates the dominant, the occasional, and the rare groups to provide you with a simple guide on how to pick combinations. Read on: Lottery Wheel: A Clever Mathematical Strategy That Works

I recommend focusing on the dominant template to get the best shot possible. These are templates #1, #2, and #3.

A Lotterycodex calculator is available to help you. Use the lottery number generator, decide how many numbers to the wheel, and download the list.¹² Read on: Lottery Calculator: A Mathematical Guide Beyond Number Selection.

To win in a lotto 6/49 game, you must be able to predict the general outcome of the whole lottery game using the law of large numbers.

The image below shows how a 6/49 lottery game will behave over time:

Generated by Lotterycodex Calculator

My combinatorial and probability analysis of the Lotto 6/49 game shows that only three templates exhibit the best success-to-failure ratio.

According to the law of large numbers, templates #1, #2, and #3 will continue to dominate as the number of draws gets larger. Read on: The Winning Lottery Formula Using Math

It’s important to clarify that you don’t win anything by hitting the right composition. The big idea is to put yourself closer to the winning combination using the templates as your guide for number selection.

The main idea is to use mathematics to get you closer to the winning combinations. And with persistence, winning is just a matter of time.

Questions and Answers About 6/49 Lottery Game

Do you know how to win Lotto 6/49? We encourage you to share your tips and add value to the conversation.

Thank you for reading. :)

Additional Resources

1. The Official Odds and Payout of Canada Lotto 6/49    [↩]
2. How to Achieve a 50/50 Chance of Winning the Lottery    [↩]
3. Play The Lottery Responsibly    [↩]
4. Why Buying Hundreds of Lotto Tickets Can Be Useless    [↩]
5. Unusual Combinations and Coincidences in the Lottery    [↩]
6. Risk of Death: 18 Things More Likely to Kill You Than Sharks    [↩]
7. The Lotto Secret: Three Math Strategies for Winning Revealed    [↩]
8. What is the difference between odds and probability?    [↩]
9. Odds and Probability Explained in the Context of a Lottery Game    [↩]
10. Combinatorics    [↩]
11. Probability Theory    [↩]
12. A Lottery Number Generator That Works    [↩]