6 out of 49 is a winning combination. "Probability of winning in lotteries

To participate in the draw, you need to fill out the game coupon and pay the lottery receipt. There are 6 fields in the game coupon. The cost of the minimum bet (6 numbers in one playing field) is 20 rubles.

The winnings for 3 guessed numbers are 150 rubles. Winnings in other categories are distributed as a percentage after the winnings for 3 matched numbers are calculated.The super prize, which is paid for 6 guessed numbers, varies from draw to draw and can reach several million rubles.
The minimum guaranteed super prize is 10,000,000 rubles.
Draws take place daily. Bets on the next draw are accepted until it starts.

Detailed rules of the game on the website stoloto.ru

Recently, significant changes have occurred in state lotteries.
On October 18, the Stoloto lottery center opened in Moscow (43 Volgogradsky Prospekt, building 3).
The lottery machines installed in the center will host draws for six lotteries:

All draws are broadcast live on the website stoloto.ru
Anyone can come to the center and see the process with their own eyes. Free admission.

One of the most frequently asked questions is: “What is the probability of winning the lottery?” It is easy to answer, because numerical lotteries are conducted according to certain formulas and each of them can be subjected to mathematical calculation. So, let's start calculating luck together with the most popular Russian state lotteries.

We win in Gosloto “4 out of 20”

The youngest of the Gosloto lotteries, “four,” has already managed to acquire fans. And all thanks to its remarkable features: a huge, multi-million dollar super prize, 20 other winning categories and an increased prize fund - 67% of the proceeds from each ticket sold go to it.
The chances of winning a super prize in Gosloto 4 out of 20 are 1 in 23,474,025. The overall probability of winning is estimated as 1 in 3.4.

Winning distribution table in Gosloto 4 out of 20:

Matched numbers in field 1 Matched numbers in field 2 Prize fund distribution
4 4 23.36% + accumulated Super Prize
4 3 2,56%
3 4 2,56%
4 2 0,58%
2 4 0,58%
4 1 0,89%
1 4 0,89%
4 0 1,02%
0 4 1,02%
3 3 0,98%
3 2 3,68%
2 3 3,68%
3 1 4,59%
1 3 4,59%
3 0 4,66%
0 3 4,66%
2 2 12,44%
2 0 13,63%
0 2 13,63%
2 1 100 rubles**
1 2 100 rubles**

To win a super prize, you need to match 4 numbers in the first field and 4 numbers in the second on your ticket. In the premiere edition of the “four”, which will be held on December 31 at 20:00 live on the NTV channel, it will amount to 1 billion rubles!

To increase your chances of winning, take advantage of features such as expanded and multi-draw bets.

*Distribution of the prize fund, taken as 100% after accrual of fixed winnings.
**Fixed winnings per winning ticket.

We win in Gosloto “6 out of 45”

The queen of Gosloto lotteries, the “six,” regularly sets records for the amount of super prizes. Perhaps every lottery fan dreams of winning millions of rubles playing it. In this case, the chances of guessing two or more numbers are quite high. The main thing is to bet regularly and think like a winner!

How to increase your chances of winning the lottery? Firstly, the more bets you place, the higher the likelihood of winning a prize. Secondly, detailed and large-circulation bets have a significant impact on the balance of power. Using this method, some Gosloto 6 out of 45 fans have already become millionaires. Read more about the multi-circulation rate in our. Thirdly, it is important to believe in your luck! If you are confident in victory, it will not take long to arrive.

We win in Gosloto “5 out of 36”

As you know, most often million-dollar winnings go to Gosloto “5 out of 36” participants. The probability of winning a super prize in this lottery is indeed much higher than, for example, in Gosloto “6 out of 45”. That is why, on average, we honor new Russian millionaires every week. Now there are already 250 lucky people in this club!

Have you already noticed how tempting the Gosloto “5 out of 36” statistics look? It makes me want to place a bet as soon as possible! Regular participants know that they can participate in the “five” draws in any convenient way: by purchasing a ticket at one of the lottery kiosks or salons “Euroset” and “Svyaznoy”, a branch of the “Russian Post”, in an online lottery supermarket, using the Stoloto mobile application or placing a bet via SMS. All means are good!

We win in Gosloto “7 out of 49”

Another remarkable lottery with many fans. First of all, Gosloto “7 out of 49” attracts the largest guaranteed super prize - 50,000,000 rubles for 7 guessed numbers. His win is real luck! The probability of triumph is, of course, less than in other lotteries, but the greater your joy from victory will be! Distribution circulations of the “seven” regularly increase the number of lottery millionaires in Russia.

We win in “Sportloto 6 out of 49”

The legendary lottery, which came to us from Soviet times and celebrates its 45th anniversary this year, still looks tempting. Not only because of the low cost of the minimum bet (only 20 rubles) and an impressive super prize, but also due to the introduction of a bonus ball into the game. This type of lottery is popular abroad and, as we see, lives successfully in Russia. Guessing the number on the bonus ball is the desired goal of many whose 5 numbers marked in the coupon have already matched the main combination. But the most persistent and lucky participants achieve it. And the more interesting it is to live, play and win!

The principle of numbers falling out

A random number generator is used to determine winning combinations. This is the most modern technology that is responsible for drawing numbers in the world's leading lotteries. In this case, the human factor is completely excluded, which means that the entire drawing process can be unconditionally trusted.
How do you choose numbers when placing bets? Do you mark your favorite numbers that you consider to bring good luck, or use the Automatic Bet feature? Do you keep track of the combinations that come up? For those who make strict strategic calculations or simply want to know which numbers win more often and which ones win less often, statistics for each lottery are regularly updated on the Stoloto website.

The most unusual combination of numbers

The imagination of experienced lottery strategists was amazed on April 5, 2015, when in the 17053rd draw of the fast game “Rapido” a beautiful combination brought a super prize of 4,269,583 rubles: 1, 2, 3, 4, 5, 6, 7, 8 - in the first parts of the field, 4 - in the second part. Indicate the first eight numbers on the ticket, pay 30 rubles (that’s how much the lucky bet cost) and thus become a millionaire - great luck! This victory has already gone down in lottery history. And not only because of such a rare combination of numbers, but also because the win was a record for Rapido.

Winning bingo lotteries

The most popular state bingo lotteries in Russia are the Russian Lotto and the Housing Lottery. They give away apartments, country houses, cars and large cash prizes.

The chances of winning the bingo lottery increase significantly when the game is played until the 87th move. This means that Mikhail Borisov, the host of the Russian Lotto, has three barrels left in his bag (instead of the usual four), and three balls in the Housing Lottery machine. And if you don't find those numbers on your ticket, you've won!
Winning in the Russian Lotto and the Housing Lottery depends entirely on your luck, because here you won’t be able to make a detailed bet or use a multiplier. These are lotteries for those who prefer to surrender to fate and give fortune the opportunity to choose their favorite on Sunday morning during the drawing (broadcast on Sundays at 8:15 on the NTV channel, in the program “Russian Lotto Plus”). There are several ways to influence the balance of power. Choose a ticket with your favorite numbers printed on the playing field. Buy multiple tickets to increase your chances of winning. Or become the owner of block tickets in which all 90 numbers are marked. Such tickets are issued for the country's main holidays and other important dates.
If you can’t wait to test the theory of probability of winnings in practice, hurry up to purchase lottery tickets or place a bet at your nearest lottery kiosk, Euroset communication store, Svyaznoy store, Russian Post office or on the website of the Russian online lottery supermarket Stoloto. in the Stoloto mobile application or via SMS.
May luck smile on you!

The most convenient way to buy lottery tickets

Your whole life is on the run and you don’t have time to go to a lottery kiosk? With our Stoloto mobile application, all problems will disappear overnight. After downloading it, you can purchase a ticket at any time, find out the results of previous draws, top up your Stoloto wallet and read about the latest news in the world of lotteries. The Stoloto application is available in two versions: for Android and iOS. Choose the version that suits your smartphone and use the most convenient and fastest way to buy lottery tickets.

Is it possible to win the lottery? What are the chances of matching the required number of numbers and winning the jackpot or junior category prize? The probability of winning is easy to calculate; anyone can do it themselves.

How is the probability of winning the lottery generally calculated?

Numerical lotteries are conducted according to certain formulas and the chances 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 the fact how many of them need to be guessed.

For example, for the “5 out of 36” lottery the probabilities are always as follows

  • 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 a ticket, then the chance of guessing “two” is only 1 in 8. But catching “five” numbers is much more difficult, this is already 1 chance in 376,992. This is exactly the number (376 thousand) There are all kinds of combinations in the “5 out of 36” lottery and you are guaranteed to win it if you only fill them all. True, the amount of winnings in this case will not justify the investment: if a ticket costs 80 rubles, then marking all the combinations will cost 30,159,360 rubles. The jackpot is usually much smaller.

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

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

How many numbers do you need to guess? chances are 5 out of 36 chances are 6 in 45 chances are 7 out of 49
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 clarifications

The lotto widget allows you to calculate the probabilities of winning for lotteries with one lottery machine (without bonus balls) or with two lottery machines. You can also calculate the probabilities of deployed bets

Probability calculation for lotteries with one lottery machine (without bonus balls)

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

If the lottery does not use additional numbers*, then after selecting a numerical formula, all you have to do is click the calculate button and the result is ready. It doesn’t matter what probability of an event you want to know - winning a jackpot, a second/third category prize, or just finding out whether it’s difficult to guess 2-3 numbers out of the required number - the result is calculated almost instantly!

Calculation example. The chance of guessing 5 out of 36 is 1 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 machines (+ bonus ball)

If the lottery uses two lottery machines, then all 4 fields must be filled in for calculation. In the first two - the numerical formula of the lottery (5 out of 36, 6 out of 45, etc.), in the third and fourth fields the number of bonus balls is indicated (x out of n). Important: this calculation can only be used for lotteries with two lottery machines. If the bonus ball is taken from the main lottery machine, then the probability of winning in this particular category is calculated differently.

* Since when using two lottery machines, the chance of winning is calculated by multiplying the probabilities by each other, then for the correct calculation of lotteries with one lottery machine, the choice of an additional number by default is 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” (Powerball, USA) - 1: 292,201,338

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

A good illustration of the complexity of playing with two lottery machines is the Gosloto 4 out of 20 lottery. The probability of guessing 4 numbers out of 20 in one field is quite fair, the chance of this is 1 in 4,845. But when you need to guess correctly and 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 deceptive; winning the main prize in it is more difficult than in “6 out of 45” or “6 out of 49”

Probability calculation (expanded bets)

In this case, the probability of winning when using expanded bets is calculated. For example, if there are 6 out of 45 in the lottery, 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 the fact that their cost is 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 very easy to do this!

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, Russian Lotto. The main thing that needs to be taken into account is the number of moves allocated for the onset of winning. 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). This is why, by the way, for many years in the Russian Lotto lottery no one could hit the jackpot, and it was distributed forcibly.

On March 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 to be an analogue of an expanded bet - after all, 15 numbers are guessed out of 30 available! And this is a completely different possibility:

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

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

Sportsloto “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"(Great Britain)
Category "5 + 1 bonus ball": probability 1:7 509 579

You need to play the lottery wisely. Before buying tickets, you should study the conditions, including what your chances of winning are. Obviously, the games with the highest odds of winning the lottery are the easiest to win.

They usually use fewer balls. But prizes rarely reach the values ​​that are typical for multiple lotteries. To understand the probability of winning the lottery, look at the signs below.

Odds of winning 5 out of 36

In order to get a jackpot when playing the lottery using the 5 out of 36 gaming system, you need to guess one combination out of 376,992. This is the probability of winning the Gosloto 5 out of 36 lottery or similar.

Odds of winning 6 out of 45

1 of 8 145 060

In order to win the jackpot, you need to guess one combination out of 8 million. Despite such a low probability of winning the lottery 6 out of 45, there are lucky ones who guess it.

Odds of winning the lottery 7 out of 49

1 in 85 900 584

The odds of winning the 7/49 lottery are 1 in 85.9 million - winning the jackpot is usually low, but here they are completely prohibitive. Apart from luck, there is hardly anything that will help you achieve real success...

Probability of winning in KENO

As you can see from the table, the probability of winning the jackpot in KENO is 1 in 8.9 million. In this lottery, the winnings are fixed; to increase the size of the prize, you can use multipliers or buy several equally filled tickets.

The probability of winning the jackpot in the Rapido lottery is 1: 503,880. In it you need to guess 8 numbers out of 20, and also choose one additional number out of four correctly.

Probability of winning in Russian Lotto, Golden Key, State Housing Lottery (GZHL)

These lotteries are very similar and differ only in the form of the draw. In the first round, the jackpot is won by a ticket that crosses out one horizontal line in 5 moves. If the jackpot is not won, the first round continues until such a player appears. In the second round, you need to cross out 15 numbers on one of the two cards before others, and in the third – all the numbers on both cards. The sooner the entire field is closed, the larger the prize will be.

The probability of winning the main prize (jackpot) in Russian Lotto, GZHL, Golden Key is approximately equal and amounts to 1: 7,324,878.

Probability of winning in Gosloto TOP-3

The probability of winning in the first round depends on the number of the purchased ticket and is equal to: 1 in 1,000,000,000.
The probability of winning in the second round depends on the selected numbers and the chosen method of play:

Method of play Probability Example of marked numbers You win if the numbers are rolled
Exact order 3 1:1000 3 7 9 3 7 9
Any order 3
2 identical numbers
1:333 3 3 9 3 3 9, 3 9 3, 9 3 3
Any order 3
3 different numbers
1:167 3 7 9
Exact order 3 +
Any order 3

2 identical numbers
1:333 3 3 9 3 3 9
3 9 3, 9 3 3
Exact order 3 +
Any order 3

3 different numbers
1:167 3 7 9 3 7 9
3 9 7, 9 3 7, 9 7 3, 7 3 9, 7 9 3
Any order 2 1:50 3 - 7 3 X 7, 7 X 3
X - any number from 0 to 9
First 2 numbers 1:100 3 7 - 3 7 X
X - any number from 0 to 9
Last 2 numbers 1:100 - 7 9 X 7 9
X - any number from 0 to 9
Exactly 1
in the specified column
1:10 - — 3 X X 3
X - any number from 0 to 9
Combo
2 identical numbers
1:333 3 3 9 3 3 9, 3 9 3, 9 3 3
Combo
3 different numbers
1:167 3 7 9 3 7 9, 3 9 7, 9 3 7, 9 7 3, 7 3 9, 7 9 3