→ 7 out of 20 circulation archive. State lotteries of Russia

7 out of 20 circulation archive. State lotteries of Russia

Gosloto 7 out of 49 is a unique lottery where you can win 50,000,000 rubles. The cost of the bet is only 20 rubles. Here you can see the results of all Gosloto draws and check the ticket. Detailed tables are posted after each draw. To find out how to win in the lotto, it is enough to follow the news on the site and analyze the statistics of numbers falling out.

Rules of the game

Taking part in the game is very simple, just buy lottery ticket and mark 7 numbers for the game bet. This combination will cost you 20 rubles. To get the minimum cash prize of 50 rubles, you need to guess 3 numbers. The maximum payout can be 50 million rubles.

It is very convenient that the draws are held 3 times a week. The broadcast of the draws is carried out at 21:00 on the Internet on Mondays, Wednesdays and Fridays.

Where to buy a lottery ticket

You can play the lottery using SMS, for this just send the text 749 to 9999. You can also buy tickets on the Internet and in Svyaznoy salons.

To win..

You can also learn more about, in which more than 120 million rubles were raffled off.

Official results in the form winning combination will be available as early as 23:30 Moscow time, and then within an hour a completed draw table with winning amounts, ticket verification by number and a video recording of the winning combination will become available.

Also, within an hour it will become known whether the accumulated Super Prize in the amount of 161 million 852 thousand 988 rubles was raffled off in the 6167 draw of the "Seven". If this does not happen, then half of the accumulated Super Prize will be distributed among all winners without fail, which will lead to an increase in winnings in each category.

Gosloto results 7 out of 49 draw No. 6167, November 16, 2017 at 23:30

If the ticket matches three or more numbers in any order, then your bet is guaranteed to win!!!


Dropped combination: 05/13/14/37/39/47/48.

Gosloto video 7 out of 49 draw 6167 dated 11/16/2017

A little about lotteries

In numerical lotteries, a single simple combination is equally likely, and is a "single indivisible entity." In other words, in the space of a complete array, all elements (mentally imagine - “cubes”) have the same size, therefore, there are no priority individual combinations. It is impossible to single out “universal combinations” in the full array that will “always” play better than the others, since the lottery drum or draw generator is equally probable! What is most striking is that even many experienced players do not understand this.

The equiprobable distribution of winning combinations is
simple proof #1

Let's move on to the most natural statistics in numerical lotteries - combinatorial. To do this, you need to translate all the combinations that have played, for example, in the lottery 5 out of 36, into their serial number (index) in the full array. You can then scatter the distribution of these combinations in full array space, while respecting spacing and location in the draw history. Each dot on this graph represents the actual winning combination in the full array space. Since each individual combination is distributed equally throughout the array, we can divide this space into equal parts (sectors).

Divide the full array of 376992 combinations,
say - into 12 equal parts - sectors
- 31416 combinations.

All really played combinations at the moment in the lottery 5 out of 36
(equiprobable distribution), selected sector - any


Let's count the number of matches of each sector for the last 500 draws.
On average, there will be approximately the same number of combination hits in any sector - 41 times.
The chance of any sector to match is 376,992 / 31416 = 1 time in 12 runs (average)
Over 500 draws any sector will play 500/ 12= 41 times (average) or 4 times in 50 draws or 2 times in 25
If the combination plays in the selected sector, then the chance of the jackpot increases 12 times for one simple combination from this sector, and will be equal to 1 to 31416. If we have 10 combinations in the game, then 1 to 3141.

What is a single combination?

Let's see what a single combination is on the example of the 5 out of 36 lottery. There are 376,992 such combinations in this lottery. Each combination has its own serial number in the full array (the index is a cell).

First combination (000001) = 01-02-03-04-05 ...
Last combination (376992) = 32-33-34-35-36 = 376992 pieces

000001 _ 01-02-03-04-05
000002 _ 01-02-03-04-06
000003 _ 01-02-03-04-07
000004 _ 01-02-03-04-08
…….
…….
…….
002024 _ 01-02-07-11-30
002025 _ 01-02-07-11-31
002026 _ 01-02-07-11-32
…….
…….
174078 _ 04-21-25-32-34
174079 _ 04-21-25-32-35
…….
376992 _ 32-33-34-35-36

Absolutely any combination in the full array is no different from others in terms of the probability of a match.
To understand this better, you need to present 376,992 individual lottery balls, on which all 376,992 combinations have been designated.
It is difficult to imagine such an amount, and even more so to fit in the picture, I will show only a few balls out of 376992 pieces.

Let's do a thought experiment- let's put these balls in a huge lottery drum, which throws out only one ball with the combination indicated on this ball for each draw. It should not be forgotten that after each last drawing, the dropped ball with the combination indicated on it is thrown back into the same lottery machine. Thus, for the next draw, all combinations will be in place again, and when the lottery drum is launched, they will be mixed on an equal basis with everyone else.

If it is difficult to imagine the option with balls, then let's try to imagine a huge roulette wheel, where each cell for a ball represents a combination. There are 376,992 such cells, since such a lined wheel also cannot fit into the picture, then for a general understanding we will draw only a tiny part with combinations - I highlighted the initial and final ones.

Take a closer look at the picture - the "wheel" is divided into equal cells(equiprobable combinations), and the ball (drawing generator) can fall into any hole (cell - index), no matter how we marked these cells (even with pictures). After the draw (spin), the wheel does not decrease - all cells remain in place.

  • Note: once again I draw your attention - I am writing about a whole simple single combination. For each individual combination (cell), the meaning is completely lost, in any even, odd, sums, intervals between numbers, repetitions, consecutive numbers, and others - since the combination is a single whole and denotes a cell (index) in the full array, and their huge amount.

We can trace only certain areas of the array (sectors, ranges, groups of numbers) for the next games, therefore, we will increase our chances for the main prize (in separate runs) by tens and even hundreds of times. It depends on which sector (array, range) we guess.

equiprobable distribution
played combinations - simple proof No. 2

Consider the example of 24 numbers (lottery 6 out of 45), chosen randomly.

Let us calculate the probability of complete and partial coincidence on real history runs simplified (a simple calculation, and quite accurate for a large number of runs), then use the special function HYPERGEOMET, which is present in Excel spreadsheets. Represents a statistical function that can be used to calculate the probability of a complete or partial match.

(click to enlarge)

Loaded 2311 lottery draws 6-45.

1. One match showed in 128 draws
2311/128 = 1 to 18.1.
HYPERGEOMET = 1 to 16.6.

2. Two matches showed in 472 draws
2311/472 = 1 to 4.9
HYPERGEOMET= 1 to 4.9

3. Three matches showed in 754 runs.
2311/754 = 1 to 3.1
HYPERGEOMET \u003d 1 to 3.02

4. Four matches showed in 659 runs.
2311/659 = 1 to 3.5
HYPERGEOMET = 1 to 3.6

5. Five matches showed in 249 runs.
2311/249 = 1 to 9.3
HYPERGEOMET = 1 to 9.12

6. Six matches showed in 37 runs.
2311/37 = 1 to 62.5
HYPERGEOMET = 1 to 60.51

As you can see, the probability of complete and partial coincidence almost completely coincides with the calculated values. So the lottery generator gives out combinations equally likely. When generating or manually marking any markers, the values ​​will be slightly different, but they will be close to theoretical ones. The more draw history is loaded, the closer the result. Due to the fact that there are catastrophically few circulations in the archive, we use groups of numbers of sufficient length.

From the uniform (equiprobable) distribution, one more conclusion follows: it does not matter which numbers are included in the group of numbers - even, odd, the top of the playing field or the bottom, and so on. Only the number of numbers in the group is important, on which the probability directly depends. We look at the screenshot - markers in the amount of 18 numbers are marked - random, upper part, parity.

(click to enlarge)

There are no significant differences in the intensity of matching 5 numbers.
In other words, the draw generator pays attention to any marked markers evenly, at least “draw” something on the playing field. Sometimes it is “advised” to play with the so-called “pieces” - this will not change anything in terms of the probability of coincidence - any “piece” will play with the same frequency as “not a figure” ...

Now we know for sure - any marked group of numbers, in equal numbers, has the same probability of matching. Why? Because it is made up of equally probable simple combinations. In this case, how do you even understand which group might be more likely to play in the upcoming games?

Strategic combination generators for number lotteries

When you realize that a single combination is equally likely,
then some people get completely confused - in relation to common statistics 🙂

For example, why "even-odd" plays in the "majority" in a certain proportion, or why "sum" plays in the middle range and more. It turns out that the combinations seem to be not equally probable? This question is easy to answer, precisely after the full realization that a single combination is equiprobable. So why, after all, combinations seem to “like to play” in certain proportions, ranges, amounts - if they are equally probable?

  • Because we "allocate" arrays of equiprobable single combinations with this information. Here it is important to know how many combinations obtained in the selected sectors. Arrays of combinations, highlighted by statistical information - contain different amount equiprobable combinations, therefore, these arrays have different probability for a match.

Consider the example of statistics
even, odd numbers

  • Let's try to understand one of the popular tips when choosing a combination:
    choose combinations that contain an equal number of even and odd numbers

Let's see why this happens. In the lottery, 5 out of 36 most common even-odd will look like this: 2 even - 3 odd, or 3 even - 2 odd. We count the number (even - odd) of all possible combinations in the lottery 5 out of 36


To better understand why a lottery drum or circulation generator random numbers tries to throw out such combinations of numbers in combinations, for clarity, let's turn to the roulette wheel, which is nothing else - like an equiprobable random number generator, unless, of course, it is skewed 🙂

Distribute all combinations on the basis of even-odd together, and according to the table,
draw a pie chart - imagine that these are marked sectors on a roulette wheel

Add mentally the largest sectors that contain 124848 combinations together = 124848 pieces (2 even - 3 odd) + 124848 pieces (3 odd - 2 even) = 249696 combinations out of 376992 possible, or 66.23%, or the chance of these two sectors is 376992 / 249696 = 1 to 1.5 for each spin (draw) or approximately 33 numbers out of 36.

That is why with each test (roulette spin) of a lottery drum or a draw generator, combinations from this sector will tend in most cases to play in parity proportions like 2-3 or 3-2.

  • In this example, plays not a single combination- a dedicated “huge sector” with combinations plays here, in other words, we marked about 33 numbers out of 36, of course, almost always such a number of numbers will “hook” all the prize money!

Why parity in combinations like 2-3 or 3-2? Everything is explained by the costs of the decimal system, which encodes the whole combination. Each individual whole (full) combination simply denotes a cell of 376992 pieces. Recall the thought experiment with balls, on which the combination is indicated as a whole, or an example with a roulette wheel, where each combination simply indicates a cell, and is indivisible. And how we select an array of combinations does not matter. It's just convenient to follow these signs (even or odd) for a part of the array - the sector.

If we generate any random combinations for the same number of combinations (2469696 pieces), regardless of these proportions in general, then nothing will change in terms of the probability of matching the resulting array (sector) (1 to 1.5). Any equiprobable random combination generator will sort of follow this advice on its own (without any filters) − interestingly, no one specifically programs it like that, laying in it an instruction (algorithm), to issue exactly such combinations of numbers.

Don't believe? Check it out yourself!

1. Review your draw history - most odd/even combinations will be 2-3, 3-2 (5 out of 36) and 3-3 (6 out of 45).
2. Take any generator of random numbers, combinations - generate and write down the resulting combinations, then check.

Conclusion:

  • Most likely, such advice is addressed to those who manually fill in tickets, without any software, even a simple random combination generator will follow this advice on its own.
  • This advice is of little use to us, since the sector contains two-thirds of all combinations - not roulette, because we play in dozens, where the chance is 1 to 3.
  • This advice is suitable for lotteries that are very rare, although it will not help much.
  • It is more correct to try to guess the sectors 1-4, 4-1, and with fairly frequent draws 5-0, 0-5 (we are waiting for the average period)

last known circulation #10007 dated 2019-12-17 15:30:00. Rooms: [

, ]. The sum of the numbers = 174.

Probabilities of winning in "Gosloto 7 out of 49"

The probability of winning in the minimum category is 1 to 4.8. Prize fund is only 50% from revenue. The total mathematical probability of winning - 1 to 3.87, consisting of 6 winning categories. The minimum guaranteed size of the super prize is 500 million rubles.
In this lottery, there is only one playing field, consisting of 49 numbers. To win in the minimum category, it is enough to guess 2 numbers, and winning in the minimum category corresponds to the cost of the ticket. The probability of winning a super prize is one of the lowest among the ongoing lotteries, which greatly discourages potential participants. This lottery is very popular in distribution draws.

You can find detailed information about the rules for participating in the lottery on the official website www.stoloto.ru .

Changing the size of the jackpot on history 1000 latest draws:

In the Gosloto 7 out of 49 lottery, the super prize is won very rarely, for the first time it happened in 7924 circulation. This is not surprising, since the mathematical probability of winning is 1 to 85900584. The jackpot chart drops from top to bottom mainly tell us not that a super prize was drawn in this draw, but that it was another distribution draw.

Number of combinations participating in the draw:

As a rule, players' activity slows down after a super prize is drawn or when the ticket price increases. If the cost of tickets decreases or the size of the super prize becomes large enough, then the activity gradually increases. On distribution circulations, activity sharply increases (in the form of a jump on the diagram). The highest activity of participants is manifested precisely in distribution draws, at such moments the number of participating combinations increases tenfold.

The ratio of the number of participating combinations to the number of winning ones:

This ratio, on average, corresponds to the mathematical probability of winning the lottery, equal to 1 to 19.81 up to 9518 circulation, and 1 to 3.87 starting from the 9518th draw (because they changed the rules of the game in the lottery, adding the winning category - matching 2 numbers).


Draws with the lowest "number of combinations"/"number of wins" ratio, i.e. There were many victories

By the numbers present in these draws, you can determine the most popular numbers used by lottery participants. As soon as these numbers fall out, the winners immediately become more than usual.


The draws with the highest "number of combinations"/"number of wins" ratio, i.e. there were few victories.

There are numbers in these circulations that people are reluctant to use. Among them are the numbers: 1-6 and 40-49. People do not like to use values ​​close to the boundaries of the interval - (1, 49) , and for some reason they are also afraid of large numbers, especially when there are many large numbers in one combination at the same time, more than 3 pieces. When the listed numbers fall out, the winners become less than usual.

last known circulation #10007 dated 2019-12-17 15:30:00. Rooms: [

, ]. The sum of the numbers = 174.

Probabilities of winning in Gosloto 7 out of 49

This Histogram displays cold and hot combinations calculated on the basis of data obtained from the section. These combinations are obtained by a simple enumeration of 14 the coldest and hottest balls, and their automatic analysis on history in 1000 circulations. This is just a small part of all the possible lottery combinations. For a general idea, let's say that the histogram of all possible combinations will look like a huge bell, with an average value corresponding to a total probability of winning 1 to 3.87 . Near 99% combinations will fall in the range from 3.0 to 4.8 WR. You and I see only the ones that interest us the most, small tails on the left and right.
Overall probability of winning for Gosloto "7 out of 49" is 1 to 3.87.
And here is one of the secrets of how to overtake probability theory - If you choose to play cold combination(wr>3.87), then sooner or later you will be able to overtake the mathematical probability of winning, since on a large number of trials the value "wr" will tend to value "overall probability of winning". True, it is impossible to predict exactly when this will happen, in a few runs, 100 runs, or 1,000,000 runs.

 

 
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