Number 21

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

153times drawn · chance expected 144 +0.80σ

2draws waiting · a wait this long: 89% for any number

8.5average wait between appearances · chance says 9.0

45longest completed wait · 58% chance of one at least that long

21 is drawn as often as chance explains

Drawn 153 times in 1,296 draws against 144.0 expected, +0.80σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 21, draw by draw

Drawn 153 times in 1,296 draws · average wait 8.5 draws · longest completed wait 45 · waiting 2 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 21 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.

1st smallest12 · chance 12.0
2nd smallest40 · chance 45.6
3rd smallest59 · chance 59.1
4th smallest37 · chance 30.8
5th smallest5 · chance 5.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 13.9 shared draws, and the leaders are simply the ones that came out ahead this time.

2 6 20 28 1 12

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, 21 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 21 →

Every draw it appeared in

Date	Wait	Position	The draw
2026-10-03	3	3rd	6 12 21 34 41
2026-09-23	12	3rd	3 15 21 27 40
2026-08-12	5	2nd	1 21 35 42 44
2026-07-25	7	2nd	20 21 26

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: 21 is drawn with probability 5/45 tonight whatever it did last week.

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