Number 31

In Cowboy Draw under the 5/45 · since Mar 2015 rules — 1,206 draws, 5 from 1–45.

137times drawn · chance expected 134 +0.27σ

5draws waiting · a wait this long: 62% for any number

8.7average wait between appearances · chance says 9.0

38longest completed wait · 83% chance of one at least that long

31 is drawn as often as chance explains

Drawn 137 times in 1,206 draws against 134.0 expected, +0.27σ. Each draw is independent: after 5 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 137 times in 1,206 draws · average wait 8.7 draws · longest completed wait 38 · waiting 5 draws now

a completed wait — darker is longer the wait still running — a lower bound, not a finished gap

Where it lands in a sorted draw

Sort a draw and 31 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.

1st smallest3 · chance 1.0
2nd smallest8 · chance 11.0
3rd smallest39 · chance 39.9
4th smallest53 · chance 57.4
5th smallest34 · chance 27.7

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 12.5 shared draws, and the leaders are simply the ones that came out ahead this time.

27 4 5 32 37 11

It has shared a draw with every one of the other 44 numbers; chance expected about 0.0 still unmet by now. Every pair →

How many people play it

Under the crowd model, 31 is picked about 1.22× as often as an indifferent choice — 15th most popular of 45. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.

Numbers 1–31 — the birthday zone ×1.22

The model and its sources → · What people believe about 31 →

Every draw it appeared in

Date	Wait	Position	The draw
2026-09-24	19	4th	15 22 29 31 38
2026-07-20	5	4th	2 12 14 31 38
2026-07-02	16	3rd	1 5 31 35 40
2026-05-07	2	4th	5 18 28

What this cannot tell you

Nothing here predicts the next draw. A number’s history is a record of a fair machine’s past, and the machine keeps none of it: 31 is drawn with probability 5/45 tonight whatever it did last week.

2025-01-20	12	4th	12 17 24 31 39
2024-12-09	18	4th	8 16 19 31 37
2024-10-07	17	4th	4 7 20 31 37
2024-08-08	6	3rd	5 13 31 37 38
2024-07-18	2	3rd	6 30 31 37 41
2024-07-11	5	3rd	26 27 31 41 42
2024-06-24	1	5th	5 9 12 18 31
2024-06-20	1	4th	2 4 15 31 45
2024-06-17	10	4th	8 23 27 31 41
2024-05-13	7	2nd	24 31 32 34 40
2024-04-18	8	3rd	13 16 31 35 38
2024-03-21	1	4th	3 5 19 31 34
2024-03-18	4	3rd	2 20 31 41 45
2024-03-04	1	5th	7 17 22 26 31
2024-02-29	2	3rd	11 14 31 34 44
2024-02-22	20	5th	11 14 26 27 31
2023-12-14	1	4th	7 25 27 31 39
2023-12-11	16	5th	9 23 24 30 31
2023-10-16	8	2nd	11 31 32 36 43
2023-09-18	22	5th	1 16 26 27 31
2023-07-03	3	3rd	13 17 31 32 34
2023-06-22	1	3rd	1 11 31 37 44
2023-06-19	12	3rd	2 19 31 33 37
2023-05-08	9	4th	4 24 29 31 45
2023-04-06	2	4th	4 13 29 31 38
2023-03-30	19	5th	12 16 19 23 31
2023-01-23	11	4th	5 14 20 31 42
2022-12-15	1	3rd	5 11 31 33 38
2022-12-12	9	3rd	13 26 31 36 37
2022-11-10	10	2nd	17 31 33 37 40
2022-10-06	5	4th	4 10 25 31 38
2022-09-19	7	5th	5 14 15 18 31
2022-08-25	4	4th	7 8 13 31 33
2022-08-11	38	3rd	4 20 31 34 41
2022-03-31	4	3rd	4 22 31 32 38
2022-03-17	2	4th	11 17 23 31 37
2022-03-10	16	5th	12 16 24 27 31
2022-01-13	6	4th	9 13 24 31 40
2021-12-23	2	3rd	2 9 31 32 42
2021-12-16	8	5th	8 16 17 27 31
2021-11-18	13	5th	1 2 12 30 31
2021-10-04	5	1st	31 36 37 43 45
2021-09-16	11	2nd	26 31 34 39 45
2021-08-09	2	4th	2 7 17 31 32
2021-08-02	4	4th	4 6 21 31 32
2021-07-19	5	4th	9 17 22 31 45
2021-07-01	14	3rd	16 29 31 38 40
2021-05-13	5	5th	3 11 17 30 31
2021-04-26	1	4th	9 10 13 31 43
2021-04-22	3	3rd	15 28 31 41 42
2021-04-12	13	3rd	7 13 31 32 41
2021-02-25	8	5th	1 17 25 27 31
2021-01-28	8	3rd	20 28 31 41 42
2020-12-31	28	4th	17 18 20 31 42
2020-09-24	23	4th	3 20 29 31 32
2020-07-06	1	5th	8 14 21 25 31
2020-07-02	11	4th	5 10 24 31 45
2020-05-25	5	4th	3 22 24 31 38
2020-05-07	13	4th	5 9 22 31 43
2020-03-23	1	5th	3 18 21 25 31
2020-03-19	1	5th	1 6 7 13 31
2020-03-16	13	4th	5 16 28 31 37
2020-01-30	9	3rd	11 22 31 40 41
2019-12-30	8	5th	3 6 25 26 31
2019-12-02	2	3rd	12 29 31 32 40
2019-11-25	2	3rd	27 29 31 34 45
2019-11-18	3	4th	7 8 22 31 32
2019-11-07	12	4th	8 12 13 31 38
2019-09-26	3	3rd	11 21 31 34 36
2019-09-16	5	4th	19 23 28 31 45
2019-08-29	18	1st	31 32 33 34 35
2019-06-27	9	4th	3 20 27 31 36
2019-05-27	23	5th	2 5 6 7 31
2019-03-07	9	2nd	18 31 38 39 44
2019-02-04	5	3rd	6 8 31 34 44
2019-01-17	10	4th	2 7 24 31 44
2018-12-13	14	5th	4 13 22 26 31
2018-10-25	5	4th	10 25 27 31 42
2018-10-08	20	5th	4 5 12 18 31
2018-07-30	11	3rd	23 25 31 40 43
2018-06-21	3	3rd	7 24 31 33 44
2018-06-11	4	1st	31 35 37 38 45
2018-05-28	9	2nd	16 31 33 36 43
2018-04-26	1	5th	12 15 19 26 31
2018-04-23	1	5th	5 8 20 27 31
2018-04-19	12	4th	18 22 28 31 44
2018-03-08	5	3rd	14 27 31 33 37
2018-02-19	4	5th	8 11 25 27 31
2018-02-05	1	4th	1 20 27 31 37
2018-02-01	1	4th	1 7 20 31 37
2018-01-29	4	5th	8 26 28 30 31
2018-01-15	14	5th	14 19 21 30 31
2017-11-27	1	4th	4 10 20 31 45
2017-11-23	34	4th	8 20 23 31 33
2017-07-27	12	3rd	9 23 31 33 42
2017-06-15	13	3rd	4 14 31 32 37
2017-05-01	26	4th	11 25 28 31 34
2017-01-30	23	4th	10 11 24 31 39
2016-11-10	1	5th	6 24 25 28 31
2016-11-07	13	3rd	20 28 31 43 44
2016-09-22	3	4th	1 3 7 31 41
2016-09-12	14	5th	5 15 22 29 31
2016-07-25	12	3rd	12 19 31 34 44
2016-06-13	6	3rd	3 16 31 38 45
2016-05-23	9	3rd	12 30 31 32 41
2016-04-21	1	3rd	6 9 31 33 36
2016-04-18	17	4th	1 21 30 31 36
2016-02-18	5	5th	4 9 13 25 31
2016-02-01	4	4th	2 3 10 31 41
2016-01-18	9	4th	5 9 11 31 41
2015-12-17	27	3rd	3 9 31 35 39
2015-09-14	32	5th	5 10 16 23 31
2015-05-21	—	4th	20 23 29 31 36