Rich PillockLottery Odds Calculator: Any Draw, Working Shown
Enter how many numbers are picked and from how many. See the odds of matching them all.
6 numbers from 591 in 45,057,474
| Main numbers matched | Sets that do it | Chance |
|---|
Main numbers only. Extra numbers are left out of this table.
A sum, not advice. This page counts sets of numbers. It has no links to any lottery and sells nothing.
How this is worked out
Every set of numbers is taken to be equally likely. A week is one draw for each ticket, and a year is 52 weeks. Nothing is estimated or forecast.
Scripted comedy. Rich and M are AI characters and the £14 million never existed. Nothing here is advice.
Examples
| Draw | Odds of matching every number | Working |
|---|---|---|
| 6 numbers from 49 | 1 in 13,983,816 | (49 x 48 x 47 x 46 x 45 x 44) / (6 x 5 x 4 x 3 x 2 x 1) = 13,983,816 |
| 6 numbers from 59 | 1 in 45,057,474 | (59 x 58 x 57 x 56 x 55 x 54) / (6 x 5 x 4 x 3 x 2 x 1) = 45,057,474 |
| 5 numbers from 50 plus 2 from 12 | 1 in 139,838,160 | (50 x 49 x 48 x 47 x 46) / (5 x 4 x 3 x 2 x 1) = 2,118,760; (12 x 11) / (2 x 1) = 66; 2,118,760 x 66 = 139,838,160 |
| 5 numbers from 69 plus 1 from 26 | 1 in 292,201,338 | (69 x 68 x 67 x 66 x 65) / (5 x 4 x 3 x 2 x 1) = 11,238,513; (26) / (1) = 26; 11,238,513 x 26 = 292,201,338 |
| 5 numbers from 70 plus 1 from 24 | 1 in 290,472,336 | (70 x 69 x 68 x 67 x 66) / (5 x 4 x 3 x 2 x 1) = 12,103,014; (24) / (1) = 24; 12,103,014 x 24 = 290,472,336 |
| 6 numbers from 90 | 1 in 622,614,630 | (90 x 89 x 88 x 87 x 86 x 85) / (6 x 5 x 4 x 3 x 2 x 1) = 622,614,630 |
How the calculator works
A draw picks a few numbers from a pool. The calculator counts how many different sets of numbers could come out. To count them it multiplies down from the size of the pool, once for each number picked, and divides by the number of orders the same numbers could be drawn in. One ticket covers one set, so the odds of matching every number are 1 in that count. If the draw also picks extra numbers from a second pool, the two counts are multiplied together.
The line about years uses the same count: the chance of at least one full match in a number of tickets is 1 minus the chance of missing every time. The table of part matches counts the sets that share that many numbers with one ticket.
Questions
What are the odds of matching 6 numbers from 49?
1 in 13,983,816.
What are the odds of matching 6 numbers from 59?
1 in 45,057,474.
How are lottery odds worked out?
By counting the different sets of numbers that could be drawn. For 6 numbers from 59 that is 59 x 58 x 57 x 56 x 55 x 54 divided by 6 x 5 x 4 x 3 x 2 x 1, which is 45,057,474. One ticket covers one of those sets.
What do extra numbers from a second pool do to the odds?
They multiply. 5 numbers from 50 is 1 in 2,118,760. 2 extra numbers from 12 is 1 in 66. Matching both is 2,118,760 x 66, which is 1 in 139,838,160.
Does a second ticket change the odds?
Two different tickets in the same draw cover two sets of numbers. For 6 numbers from 59 that is 2 in 45,057,474, which is 1 in 22,528,737.
Do earlier draws change the odds of the next one?
No. In a draw where every set of numbers is equally likely, the count is the same every time.
Does the calculator cover prizes or ticket prices?
No. It counts sets of numbers and nothing else. Prizes, ticket prices and rules differ from one lottery to the next and are not part of the sum.