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Secrets of luck or a step-by-step algorithm for winning the lottery. Secrets of luck or a step-by-step algorithm for winning the lottery Mathematical chances of winning

Can you win the lottery and how to do it? Which lotteries are more profitable to play? As life practice shows, winning the lottery is an event that can happen to any person.

Good day, dear readers of the HiterBober.ru business magazine. With you Alexander Berezhnov and Vitaly Tsyganok.

Winning in some local lotteries and "smart casinos" ourselves, we generalized the topic of winning the lottery, talked with friends who regularly raise good money in this business and presented their vision of this issue.

You don't need to have a college degree, be the son of wealthy parents, or graduate with a gold medal to win. To win, you only need luck and faith in your own luck. It is faith that makes a person buy a lottery ticket.

Some lucky ones need to buy a lottery ticket only once to win, others buy lotteries regularly (sometimes for several years in a row), until they finally receive a reward for patience and perseverance.

These questions are of interest to many - not only avid gamblers and gamblers - read our article on working methods and profitable lottery technologies, as well as on the biggest wins in history.

1. Is it possible to win the lottery and what you need to know for this

Skeptics believe that only lottery organizers will win, while optimists believe that Sportloto, Gosloto and other popular lotteries are a real way to find real financial well-being.

We must say right away that it is, of course, possible to win the lottery, and every player has the probability of taking the jackpot. Probability theory and mathematics with basic statistics allow for the possibility of winning any lottery ticket at any time.

However, in game theory there is also such a concept as distance, and it is the distance that is the main obstacle on the way of ordinary players to the desired wealth. In other words, a fair amount of time can pass from the moment of waiting for the win to the win. You can play the lottery for a day, month, year, ten years - and the probability of winning will always be approximately the same.

In the article we will try not to touch upon the "mystical" aspect of the game, but it should still be mentioned.

There are players who believe in good luck conspiracies, winning streaks, lucky days and numbers, rabbit feet and rituals. Many films, books and TV shows are dedicated to examples of incredible luck. However, in reality, everything is more prosaic: when playing the lottery, we are dealing with a mathematical theory of the game and nothing more.

Of course, self-confidence and healthy optimism are conditions that work more as a plus than a minus. A person who believes in luck is more likely to be right than a hopeless pessimist.

Currently, online lotteries have become very popular, which almost do not differ from the usual "paper" and offline lotteries.

EuroMillions is a Friday lottery game with players across Europe. Players from nine countries take part in the game, including Austria, Belgium, France, Ireland, Luxembourg, Portugal, Spain, Switzerland and the USA.

The prize consists of bets placed in each of these nine countries and the top prize starts at € 15 million. If the jackpot is not won within a week, the prize will carry over to the next week.

The largest recorded winnings per person were € 115 million and the biggest jackpot was € 183 million. These huge jackpots have made EuroMillions one of the most successful and exciting lotteries in the world.

5. Examples of people with the largest winnings in lottery history

There are a great many examples of people who have received the largest and largest lottery winnings. If there are jackpots, then there are people who periodically win them.

Meet: the largest winnings in the history of world and domestic lotteries.

Among domestic lotteries, the podium is occupied by Albert Begrakyan, who won the Gosloto jackpot in the amount of 100 million rubles in 2009.

The lucky man bought lottery tickets regularly. Prior to winning, Albert worked as a security guard in a store.

The most successful "overseas" lottery players today are the Messner spouses from New Jersey and the Georgia truck driver Ed Neibors.

It was these people who equally split the $ 390 million jackpot of the Mega Millions lottery in 2007.

In Europe, the biggest win is € 185 million in the EuroMillions lottery, with another married couple (Kristen and Colin) claiming the prize in 2011.

Another lucky one is Evgeny Sidorov, who won 35 million rubles in 2009. Before winning, the native of Moscow was an avid lottery lover.

The man used the received money wisely - he organized a business in the village and bought a car.

Hello!

My name is Ivan Melnikov! I am a graduate of the university NTU "KhPI", Faculty of Engineering and Physics, specialty "Applied Mathematics", a happy family man and just a fan of games for luck. Since childhood I have been fond of lotteries. I was always interested in what laws one or another ball falls out. Since I was 10, I have been recording lottery results and then I analyze the data.

Sincerely,

Ivan Melnikov.

  1. Mathematical odds of winning

    • Simple calculation with factorials

The most common lotteries in the world are the games of luck such as "5 out of 36" and "6 out of 45". Calculating the chance of winning the lottery is banal according to the theory of probability.

An example of calculating the possibility of getting a jackpot in the lottery "5 out of 36":

It is necessary to divide the number of free cells by the number of possible combinations. That is, the first digit can be selected from 36, the second from 35, the third from 34, and so on.

Hence, here is the formula:

The number of possible combinations in the "5 out of 36" lottery = (36 * 35 * 34 * 33 * 32) / (1 * 2 * 3 * 4 * 5) = 376 992

The chance of winning is 1 in nearly 400,000.

Let's do the same for a 6 to 45 lottery.

The number of possible combinations = "6 out of 45" = (45 * 44 * 43 * 42 * 41 * 40) / (1 * 2 * 3 * 4 * 5 * 6) = 9 774 072.

Accordingly, the chance of winning is almost 1 in 10 million.

  • A little about the theory of probability

According to the well-known theory, each ball in every next wanted list has an absolutely equal chance of falling out in comparison with others.

But not everything is so simple, even according to the theory of probability. Let's take a closer look at the example of tossing a coin. The first time we got heads, then the next time the probability of getting tails is much higher. If heads fell out again, then next time we expect tails with an even greater probability.

With the balls emerging from the lottery drum, the story is approximately the same, but somewhat more complicated and with a more significant number of variables. If one ball fell 3 times, and the other - 10, then the probability of the first ball falling out will be higher than that of the second. It is worth noting that this law is diligently violated by the organizers of some lotteries, which change the lottery machines from time to time. Each new lottery drum has a new sequence.

Some other organizers use a separate lottery drum for each ball. Thus, it is necessary to calculate the probability of each ball falling in each individual drum. On the one hand, this makes the task a little easier, on the other, it complicates it.

But this is just a theory of probability, which, as it turned out, doesn't really work. Let's see what secrets are based on dry science and statistics accumulated over more than one decade.

  1. Why doesn't probability theory work?

    • Imperfect conditions

The first thing to talk about is the calibration of the lottery drum. None of the lottery drums are perfectly calibrated.

The second caveat is that the diameters of the lottery balls are also not the same. Even a difference of the slightest fraction of a millimeter plays a role in the frequency of falling out of one or another ball.

The third detail is the different weights of the balls. Again, the difference may not seem significant at all, but it also affects the statistics, moreover, significantly.

  • Sum of winning numbers

If we look at the statistics of the numbers that won the lottery like "6 out of 45", then we can notice an interesting fact: the sum of the numbers on which the players bet ranges between 126 and 167.

The sum of the winning lottery numbers for "5 out of 36" is a slightly different story. The winning numbers here are 83-106.

  • Odd or even?

What numbers do you think are more common on winning tickets? Even? Odd? I can tell you with complete confidence that in the lotteries "6 out of 45" these numbers are equally divided.

But what about "5 out of 36"? After all, you need to choose only 5 balls, even and odd cannot be the same number. So that's it. After analyzing the results of this type of lottery drawing of the last four decades, I can say that it is insignificant, but still more often, odd numbers appear in winning combinations. Especially those that contain the number 6 or 9. For example, 19, 29, 39, 69 and so on.

  • Popular groups of numbers

For a lottery of the "6 to 45" type, we conventionally divide the numbers into 2 groups - from 1 to 22 and from 23 to 45. It should be noted that in winning tickets the ratio of numbers belonging to the group is 2 to 4. That is, either the ticket will contain 2 numbers from the group from 1 to 22 and 4 numbers from the group from 23 to 45 or vice versa (4 numbers from the first group and 2 from the second).

I came to a similar conclusion when analyzing the statistics of lotteries like "5 out of 36". Only in this case the groups are split a little differently. Let's denote the first group, which includes the numbers from 1 to 17, and the second - the one where the remaining numbers from 18 to 35 are placed. The ratio of numbers from the first group to the second in winning combinations in 48% of the case is 3 to 2, and in 52 % of cases - on the contrary, 2 to 3.

  • Should you bet on the numbers from the previous draws?

It has been proven that in 86% of cases in a new draw the number is repeated, which was already in the previous draws. Therefore, you just need to follow the draws of the lottery you are interested in.

  • Consecutive digits. To choose or not to choose?

The chance of getting 3 consecutive numbers at once is very low, less than 0.09%. And if you want to bet on 5 or 6 consecutive numbers at once, there is practically no chance. So choose different numbers.

  • Single Pitch Numbers: Win or Lose?

You should not bet on numbers that are in a single sequence. For example, you definitely do not need to select step 2 and place a bet with this step. 10, 13, 16, 19, 22 are definitely a losing combination.

  • More than one ticket: yes or no?

Better to play once every 10 weeks for 10 tickets than once a week for one. Also play in groups. You can win a big cash prize and split it among several people.

  1. World lotteries statistics

    • Mega millions

One of the most popular lotteries in the world was carried out according to the following principle: you must choose 5 numbers out of 56, as well as 1 out of 46 for the so-called golden ball.

For 5 matched balls and 1 correctly named golden lucky winner, the jackpot is received.

The rest of the dependencies are shown in the table:

Statistics of the dropped out ordinary balls for the entire time of the draws of the above lottery.

Statistics of the dropped out golden balls for the entire time of the Mega Millions draws.

The most frequently drawn combinations in the lottery are shown in the table below:

  • Powerball lottery where to hit the jackpot, more than a dozen lucky ones have managed. You must select 7 main game numbers and two Powerball balls.

  1. Winner stories

    • Lucky compatriots

Evgeny Sidorov from Moscow received 35 million in 2009, before that Nadezhda Mekhametzyanova from Ufa hit a jackpot of 30 million. Russian Lotto sent another 29.5 million to Omsk to the winner, who did not want to name himself. In general, hitting jackpots is a good habit of Russian people.

  • USD 390 million per person

In the lottery we've already talked about, Mega Millions won $ 390 million by the unnamed player. And this is not a rare case. In the same lottery in 2011, two people at once managed to hit the jackpot, which at that time consisted of an amount of 380 million. The money prize was divided into two parts and awarded to people who guessed the winning numbers.

A pensioner from South Carolina decided to participate in the Powerball lottery and won 260 million, which he decided to spend on the education of his children, and also bought a house, several cars for his family, and then went traveling.

  1. conclusions

So, here is a summary of the most effective rules, following which, you will definitely win:

  1. The sum of all the numbers you bet on in the lottery ticket must be calculated using the following formula:

Amount = ((1 + n) / 2) * z + 2 +/- 12%

n - the maximum number of bets, for example, 36 in a lottery like "5 out of 36"

z - the number of balls on which you bet, for example, 5 for the lottery "5 out of 36"

That is, for "5 out of 36" the amount will be as follows:

((1+36)/2)*5 + 2 +/-12% = 18,5*5+2 +/-12% = 94,5 +/-12%

In this case, from 94.5 + 12% to 94.5 - 12%, that is, from 83 to 106.

  1. Bet equally on odd and even numbers.
  2. Divide all numbers into two large groups in half. The ratio of the number of numbers on the winning ticket is 1 to 2 or 2 to 1.
  3. Follow the statistics and bet on the numbers that were drawn in the previous draws.
  4. Don't bet on one-step numbers.
  5. Better to play less often, but buy multiple tickets at once, and get together with friends and family.

In general, bolder! Follow my rules, place bets, analyze statistics and win!

The desires of most people differ in that they simply require a huge amount of money to fulfill them. Buy a new car, move into a spacious apartment, or even spend your whole life in resorts and never work. Sometimes it seems that all these dreams are simply impossible to fulfill!

However, there is one completely legal way to earn the required amount, without having any unique talents and without overworking. It is enough just to win the lottery. Of course, only a few out of millions are lucky. Professional mathematicians strongly advise against participating in them, because the mathematical expectation of a win is always less than the cost of the ticket.

Let's calculate what is the probability of winning the 6 out of 45 lottery? It should be borne in mind that there is an opportunity to bet on many winning combinations at once due to the so-called expanded system.

Draw rules

In the course of each draw, a special machine selects 6 balls from the drum, which contains 45 barrels with numbers from 1 to 45. Beforehand, all participants try to predict the results of the experiment. The main prize is won by the players who correctly guessed all 6 dropped balls.

Often no one succeeds. And then the jackpot either goes to the next draw, or its amount is distributed among the rest of the winners. To get prizes of a lower denomination, it is enough to guess from 2 to 5 drawn numbers.

What is an expanded rate?

Usually, a lottery participant chooses exactly 6 numbers that, in his opinion, will fall out of the lottery drum. In this case, the only combination of all possible combinations will lead to the main prize. However, the rules also provide for the possibility of a so-called expanded bet.

When choosing this option, the player chooses not 6, but more numbers. They can be indicated from 7 to 19. Naturally, this also increases the number of combinations leading to a win. Therefore, the price of the expanded rate is much higher. Moreover, it is exactly equal to the price of a regular bet multiplied by the number of combinations leading to a jackpot win.

How to play 6 out of 45?

The lottery is held twice a day. Draws take place at 11:00 and 23:00 Moscow time. If you wish, you can watch the broadcast of the drawing on the lottery website. It is also possible to find out the results of previously held lotteries. This, by the way, allows statistics lovers to analyze the history of events, finding certain patterns in the falling of balls. There are 4 ways to place your bet:

  • Buy a ticket at a kiosk.
  • Place a bet through the Gosloto website.
  • Use SMS message.
  • Download a special mobile application.
  • You can also use the technology of QR codes.

In addition to the expanded system, when buying, you can place a bet on many draws at once, and also indicate the automatic selection of predicted numbers.

The cost of participation in the lottery

The ticket price is determined by the number of numbers that you select at the expanded rate. If you choose 6 balls, the amount is minimal and equal to 100 rubles. With an expanded rate, its price is determined according to the following table:

How to calculate the probability of winning the lottery 6 out of 45 and others like it?

To calculate the chances of success, such a branch of mathematics as combinatorics is used. First, you should estimate the total number of different options for ball drop. If you need to choose A balls, and there are B in total in the lottery drum, then the number of combinations is determined by the formula:

C = B! / A! / (B-A)!

Sign "!" means factorial, that is, the product of all natural numbers from 1 to a given number. For example, factorial 4 is defined as 4! = 1x2x3x4 = 24. In the case of a lottery 6 out of 45, the number of combinations will be 8,145,060. For the sake of interest, we will also give the number of options for lotteries 5 out of 36 and 7 out of 49. In the first case, it is equal to 376,992, and in the second, 85,900,584. balls increases the number of possible combinations.

The number of options is inversely proportional to the chance of hitting the jackpot. If we compare the probabilities of winning in the lottery 6 out of 45 and 5 out of 36, then it turns out that when guessing 5 balls, the hope of success is 21 times higher!

How many combinations will win with an expanded bet?

With a regular bet, only one combination of all possible combinations will win. However, the expanded bet is advantageous in that many options for the drop of balls at once lead the player to receive the jackpot. How to determine the total number of such combinations? Here again we need to apply combinatorics. You have B balls. How many different ways can you choose G pieces? The answer can be calculated using the formula:

D = B! / G! / (B-D)!

So, if there are 7 numbers in the expanded bet, then the number of options will be 7! / 6! / 1! = 7. It is not difficult to make sure that in this case the price of the expanded rate will be 7 times higher than the usual one, that is, there is no economic benefit here. Let us give in the table the number of possible winning options for different sizes of the expanded bet:

Knowing the number of variations that will bring the jackpot, and their total number, it is easy to estimate the probability of winning. So, if it is necessary to calculate the probability of winning the lottery 6 out of 45 when choosing 7 numbers, then it is equal to 7/8 145 060 = 0.000000859. The chance is less than one in a million! In the best case, when 19 numbers are selected, the probability of success is 0.0033, which is also very small.

Comparison of lotteries 6 out of 45 and 7 out of 49

Gosloto conducts many lotteries, the essence of which is to guess a certain number of numbers chosen by the lottery drum. They differ in two parameters. The first is the total number of balls participating in the drawing. The second is the number of numbers to be guessed. It is interesting to compare different lotteries in terms of the chance of winning them.

For example, which is higher - the probability of winning the lottery 6 out of 45 or 7 out of 49? Formulas for calculating the number of combinations are given above. If we consider non-expanded bets, then the chance of winning is 6 out of 45 almost 10.5 times higher! Consider this when choosing the lottery you want to play.

Is it worth the candle?

What is the odds of winning the 6/45 lottery with an expanded bet? Is it advisable to use such an expensive "pleasure" in such an unpredictable future?

The probability of winning the 6 out of 45 lottery when choosing 6 numbers is minimal and is less than 1 in 8 million. An expanded bet increases the chances of winning, but costs more. Should I use it? It all depends on the ratio of the ticket price to the chance of winning.

"Gosloto" specifically sets the cost of expanded bets in such a way that it is directly proportional to the probability of winning. In other words, applying such a strategy neither increases nor decreases your projected income. Which, by the way, is negative in all lotteries. In the end, all these lotteries are unprofitable for the participants and in the long run only harm your wallet.

An expanded bet is simply a special tool invented by lottery organizers to confuse gullible participants and siphon more money out of them. So, if you just want to have fun playing 6 out of 45, buy the cheapest ticket for 100 rubles. And if you are interested in real earnings, then pass by any lotteries. Remember, free cheese only comes in a mousetrap!

Can you win the lottery? What are the chances of guessing the right number of numbers and getting the jackpot or junior prize? The probability of winning is easy to calculate, anyone can do it on their own.

How is the probability of winning the lottery calculated?

Numerical lotteries are held according to certain formulas and the odds of each event (winning a particular category) are calculated mathematically. Moreover, this probability is calculated for any desired value, be it "5 out of 36", "6 out of 45", or "7 out of 49" and it does not change, since it depends only on the total number of numbers (balls, numbers) and how many of them must be guessed.

For example, for the lottery "5 out of 36" the probabilities are always the following

  • guess two numbers - 1: 8
  • guess three numbers - 1: 81
  • guess four numbers - 1: 2 432
  • guess five numbers - 1: 376 992

In other words, if you mark one combination (5 numbers) on the ticket, then the chance of guessing the "two" is only 1 out of 8. But it is much more difficult to catch the "five" numbers, this is already 1 chance out of 376 992. It is this (376 thousand) number all possible combinations exist in the lottery "5 out of 36" and it is guaranteed that you can win in it, if you only fill them all. True, the amount of the win in this case will not justify the investment: if a ticket costs 80 rubles, then marking all combinations will cost 30,159,360 rubles. The jackpot is usually much smaller.

In general, all the probabilities have long been known, all that remains is to find or calculate them independently, using the appropriate formulas.

For those who are too lazy to look for, we give the probabilities of winning for the main Stoloto number lotteries - they are presented in this table

How many numbers need to be guessed 5 out of 36 odds 6 out of 45 odds 7 out of 49 odds
2 1:8 1:7
3 1:81 1:45 1:22
4 1:2432 1:733 1:214
5 1:376 992 1:34 808 1:4751
6 1:8 145 060 1:292 179
7 1:85 900 584

Necessary explanations

The lotto widget allows you to calculate the odds of winning for lotteries with one lottery drum (no bonus balls) or with two lotteries. You can also calculate the probabilities of unfolded bets.

Probability calculation for lotteries with one lottery drum (no bonus balls)

Only the first two fields are used, in which the numerical formula of the lottery, for example: - "5 out of 36", "6 out of 45", "7 out of 49". In principle, almost any lottery in the world can be calculated. There are only two restrictions: the first value must not exceed 30, and the second must not exceed 99.

If additional numbers * are not used in the lottery, then after selecting a numerical formula, it remains to press the calculate button and the result is ready. It doesn't matter what event you want to know the probability of what event - winning a jackpot, a prize of the second / third category, or just finding out whether it is difficult to guess 2-3 numbers from the required number - the result is calculated almost instantly!

Calculation example. The probability of guessing 5 out of 36 is 1 chance in 376 992

Examples. Probabilities of winning the main prize for lotteries:
"5 out of 36" (Gosloto, Russia) - 1: 376 922
"6 out of 45" (Gosloto, Russia; Saturday Lotto, Australia; Lotto, Austria) - 1: 8 145 060
“6 out of 49” (Sportloto, Russia; La Primitiva, Spain; Lotto 6/49, Canada) - 1:13 983 816
"6 out of 52" (Super Loto, Ukraine; Illinois Lotto, USA; Mega TOTO, Malaysia) - 1:20 358 520
“7 out of 49” (Gosloto, Russia; Lotto Max, Canada) - 1:85 900 584

Lotteries with two lottery drums (+ bonus ball)

If the lottery uses two lottery drums, then for the calculation it is necessary to fill in all 4 fields. The first two contain the numerical formula of the lottery (5 out of 36, 6 out of 45, etc.), the third and fourth fields indicate the number of bonus balls (x out of n). Important: this calculation can only be used for lotteries with two lottery drums. If the bonus ball is drawn from the main lottery drum, then the probability of winning this particular category is considered differently.

* Since when using two lottery drums, the chance of winning is calculated by multiplying the probabilities by each other, then for the correct calculation of lotteries with one lottery drum, the choice of an additional number by default costs 1 out of 1, that is, it is not taken into account.

Examples. Probabilities of winning the main prize for lotteries:
"5 out of 36 + 1 out of 4" (Gosloto, Russia) - 1: 1 507 978
"4 out of 20 + 4 out of 20" (Gosloto, Russia) - 1:23 474 025
“6 out of 42 + 1 out of 10” (Megalot, Ukraine) - 1:52 457 860
"5 out of 50 + 2 out of 10" (EuroJackpot) - 1:95 344 200
5 out of 69 + 1 out of 26 (US Powerball) - 1: 292 201 338

Calculation example. The chance of guessing 4 out of 20 twice (in two fields) is 1 in 23,474,025

The Gosloto 4 out of 20 lottery is a good illustration of the difficulty of playing with two lottery drums. The probability of guessing 4 numbers out of 20 in one field is quite sparing, the chance of this being 1 out of 4 845. But, when you have to guess, you have to win both fields ... then the probability is calculated by multiplying them. That is, in this case we multiply 4 845 by 4 845, which gives 23 474 025. So, the simplicity of this lottery is deceiving, it is more difficult to win the main prize in it than in "6 out of 45" or "6 out of 49"

Probability Calculation (Expanded Bets)

In this case, the probability of winning is considered when using expanded bets. For example - if in the lottery 6 out of 45, mark 8 numbers, then the probability of winning the main prize (6 out of 45) will be 1 chance in 290,895. Whether to use expanded bets is up to you. Taking into account that their cost turns out to be very high (in this case, 8 marked numbers are 28 options), it is worth knowing how this increases the chances of winning. Moreover, it is now quite simple to do it!

Calculation of the probability of winning (6 out of 45) using the example of an expanded bet (8 numbers are marked)

And other possibilities

Using our widget, you can calculate the probability of winning in bingo lotteries, for example, in "Russian Lotto". The main thing to consider is the number of moves allotted for the winning offensive. To make it clearer: for a long time in the "Russian Lotto" lottery, the jackpot could be won if 15 numbers ( in one field) closed in 15 moves... The probability of such an event is absolutely fantastic, 1 chance in 45 795 673 964 460 800 (you can check and get this value yourself). That is why, by the way, for many years no one could hit the jackpot in the "Russian Lotto" lottery, and it was distributed forcibly.

03/20/2016 the rules of the "Russian Lotto" lottery were changed. The jackpot can now be won if 15 numbers (out of 30) were closed in 15 moves... It turns out an analogue of an expanded bet - after all, 15 numbers are guessed out of 30 available! And this is a completely different probability:

Chance to win a jackpot (according to the new rules) in the "Russian Lotto" lottery

And in conclusion, we present the probability of winning in lotteries using the bonus ball from the main lottery drum (our widget does not calculate such values). Of the most famous

Sportloto "6 out of 49"(Gosloto, Russia), La Primitiva "6 out of 49" (Spain)
Category "5 + bonus ball": probability 1: 2 330 636

SuperEnalotto 6 out of 90(Italy)
Category "5 + bonus ball": probability 1: 103 769 105

Oz Lotto "7 out of 45"(Australia)
Category "6 + bonus ball": probability 1: 3 241 401
"5 + 1" - probability 1:29 602
"3 +1" - probability 1:87

Lotto "6 out of 59"(United Kingdom)
Category "5 + 1 bonus ball": probability 1: 7 509 579


Class 2 wins (for 5 matched numbers):

In total, the lottery "6 out of 49" thus contains 13,804 wins, ie. 1 win falls on 1013 combinations.
Winning 1st class (for 6 correct numbers): 1398386/1 = 1 for 13 983 816 combinations

Winning class 2 (for 5 matched numbers): 1398386/258 = 1 in 54200 combinations

Winning class 3 (for 4 correct numbers): 1398386/13545 = 1 for 1,032 combinations

So let's summarize. Probability of Winning 6 out of 49

In the number lottery "5 out of 36", the total number of combinations is:


Class 2 wins (for 4 correct numbers):

In total, the lottery "5 out of 36", thus, contains 4,806 wins, i. E. 1 win falls on 78 combinations.
The probability of a win for each class is determined by the ratio of the probable number of winnings to the total number of winnings equal to the total number of combinations in the lottery:
Winning 1st class (for 5 guessed numbers): 376992/1 = 1 for 376,992 combinations

Winning 2nd class (for 4 correct numbers): 376992/155 = 1 for 2432 combinations

Winning class 3 (for 3 guessed numbers): 376992/4650 = 1 for 81 combinations

So let's summarize. Probability of Winning 5 out of 36