Number 31

In Montana Cash under the 5/45 · since May 2014 rules — 1,296 draws, 5 from 1–45.

144times drawn · chance expected 144 +0.00σ

0draws waiting — it came up last time

9.0average wait between appearances · chance says 9.0

47longest completed wait · 47% chance of one at least that long

31 is drawn as often as chance explains

Drawn 144 times in 1,296 draws against 144.0 expected, +0.00σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 144 times in 1,296 draws · average wait 9.0 draws · longest completed wait 47 · drawn in the most recent draw

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 smallest1 · chance 1.1
2nd smallest14 · chance 11.6
3rd smallest40 · chance 42.0
4th smallest54 · chance 60.3
5th smallest35 · chance 29.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 13.1 shared draws, and the leaders are simply the ones that came out ahead this time.

44 3 1 13 25 27

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
2026-10-10	7	4th	1 5 13 31 36
2026-09-16	29	3rd	16 19 31 40 44
2026-06-06	8	4th	1 2 7 31 32
2026-05-09	2	4th	14 25 27

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.

2024-02-07	27	3rd	24 25 31 33 42
2023-11-04	11	3rd	3 27 31 36 44
2023-09-27	2	4th	11 15 26 31 32
2023-09-20	1	5th	14 17 26 28 31
2023-09-16	6	4th	2 13 19 31 35
2023-08-26	9	5th	6 8 16 22 31
2023-07-26	5	4th	16 28 30 31 39
2023-07-08	18	5th	2 4 25 28 31
2023-05-06	4	3rd	3 13 31 32 38
2023-04-22	3	5th	7 14 16 29 31
2023-04-12	3	3rd	6 13 31 33 44
2023-04-01	1	3rd	8 12 31 40 41
2023-03-29	11	4th	5 8 13 31 36
2023-02-18	1	2nd	26 31 39 41 45
2023-02-15	4	3rd	4 25 31 33 36
2023-02-01	6	5th	7 13 24 25 31
2023-01-11	7	5th	6 14 24 25 31
2022-12-17	2	4th	3 4 27 31 43
2022-12-10	21	3rd	3 4 31 43 44
2022-09-28	1	4th	20 23 29 31 36
2022-09-24	12	4th	13 14 15 31 38
2022-08-13	39	4th	10 17 18 31 38
2022-03-30	4	4th	4 26 29 31 43
2022-03-16	6	2nd	5 31 32 44 45
2022-02-23	6	3rd	26 27 31 32 44
2022-02-02	2	5th	12 13 21 26 31
2022-01-26	6	3rd	8 27 31 38 42
2022-01-05	17	4th	13 17 30 31 34
2021-11-06	3	3rd	15 24 31 34 45
2021-10-27	2	3rd	15 18 31 41 44
2021-10-20	3	4th	2 18 21 31 43
2021-10-09	13	4th	13 15 19 31 32
2021-08-25	3	4th	1 16 19 31 44
2021-08-14	12	4th	3 10 25 31 38
2021-07-03	2	2nd	29 31 32 37 38
2021-06-26	6	5th	9 14 25 26 31
2021-06-05	12	4th	5 12 21 31 37
2021-04-24	2	5th	9 19 20 21 31
2021-04-17	13	5th	19 27 28 29 31
2021-03-03	1	3rd	7 24 31 35 36
2021-02-27	3	2nd	15 31 34 36 38
2021-02-17	1	4th	11 22 25 31 44
2021-02-13	12	4th	8 18 22 31 37
2021-01-02	4	3rd	12 20 31 34 35
2020-12-19	2	3rd	1 22 31 34 44
2020-12-12	2	5th	1 14 17 23 31
2020-12-05	5	5th	8 10 12 15 31
2020-11-18	2	3rd	1 15 31 34 45
2020-11-11	6	5th	1 5 7 27 31
2020-10-21	5	2nd	3 31 43 44 45
2020-10-03	1	4th	21 25 29 31 45
2020-09-30	13	3rd	7 12 31 35 44
2020-08-15	11	5th	2 7 24 30 31
2020-07-08	17	4th	6 19 28 31 42
2020-05-09	15	5th	7 11 21 28 31
2020-03-18	1	5th	4 8 10 11 31
2020-03-14	12	4th	6 18 27 31 39
2020-02-01	13	3rd	11 13 31 34 36
2019-12-18	26	4th	7 15 19 31 41
2019-09-18	2	4th	6 12 13 31 45
2019-09-11	2	2nd	21 31 32 42 44
2019-09-04	13	3rd	25 27 31 39 41
2019-07-20	17	3rd	1 6 31 37 43
2019-05-22	19	5th	17 21 28 30 31
2019-03-16	3	3rd	6 15 31 39 43
2019-03-06	8	1st	31 32 35 39 45
2019-02-06	1	2nd	24 31 39 42 44
2019-02-02	2	4th	9 14 28 31 38
2019-01-26	6	3rd	22 27 31 39 40
2019-01-05	1	3rd	5 22 31 35 45
2019-01-02	9	3rd	24 26 31 40 43
2018-12-01	27	3rd	6 28 31 36 44
2018-08-29	22	5th	3 5 12 27 31
2018-06-13	18	2nd	23 31 32 38 43
2018-04-11	6	5th	3 10 13 24 31
2018-03-21	1	4th	1 5 17 31 38
2018-03-17	2	4th	6 8 14 31 34
2018-03-10	10	5th	3 14 21 25 31
2018-02-03	16	4th	4 8 26 31 40
2017-12-09	25	4th	7 25 26 31 36
2017-09-13	1	4th	2 12 23 31 37
2017-09-09	2	4th	17 28 29 31 34
2017-09-02	2	5th	3 8 16 28 31
2017-08-26	9	4th	5 22 26 31 36
2017-07-26	4	3rd	8 21 31 38 41
2017-07-12	2	3rd	14 17 31 37 41
2017-07-05	19	4th	3 17 28 31 33
2017-04-29	7	4th	3 5 29 31 35
2017-04-05	17	5th	1 3 5 23 31
2017-02-04	1	3rd	8 13 31 34 35
2017-02-01	47	3rd	15 25 31 34 38
2016-08-20	19	4th	19 27 28 31 39
2016-06-15	3	5th	20 26 29 30 31
2016-06-04	16	4th	12 21 26 31 40
2016-04-09	4	5th	1 4 22 29 31
2016-03-26	4	2nd	30 31 33 37 42
2016-03-12	4	4th	16 23 29 31 33
2016-02-27	9	5th	12 14 16 19 31
2016-01-27	6	4th	9 10 20 31 39
2016-01-06	7	3rd	14 25 31 36 40
2015-12-12	12	5th	9 10 12 22 31
2015-10-31	7	4th	3 19 22 31 44
2015-10-07	6	2nd	22 31 33 34 45
2015-09-16	12	4th	5 16 21 31 39
2015-08-05	30	3rd	2 14 31 35 40
2015-04-22	6	3rd	3 23 31 34 43
2015-04-01	16	5th	9 23 27 29 31
2015-02-04	14	2nd	13 31 35 42 44
2014-12-17	2	3rd	9 29 31 39 41
2014-12-10	6	4th	12 18 20 31 45
2014-11-19	6	3rd	5 16 31 39 44
2014-10-29	3	3rd	3 29 31 37 43
2014-10-18	4	4th	3 24 26 31 41
2014-10-04	10	2nd	15 31 32 35 45
2014-08-30	6	4th	8 22 24 31 35
2014-08-09	6	5th	1 6 20 29 31
2014-07-19	10	5th	2 18 20 30 31
2014-06-14	1	4th	4 23 27 31 40
2014-06-11	4	3rd	1 19 31 37 41
2014-05-28	—	5th	1 10 13 28 31