Number 21

In Cash 5 under the 5/41 · Oct 2020 – Oct 2023 rules — 720 draws, 5 from 1–41 (an earlier era).

100times drawn · chance expected 88 +1.39σ

20draws waiting · a wait this long: 8% for any number

7.0average wait between appearances · chance says 8.2

28longest completed wait · 95% chance of one at least that long

21 is drawn as often as chance explains

Drawn 100 times in 720 draws against 87.8 expected, +1.39σ. Each draw is independent: after 20 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 21, draw by draw

Drawn 100 times in 720 draws · average wait 7.0 draws · longest completed wait 28 · waiting 20 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 large number the high positions more often. That is the shape of sorting, not of the machine.

1st smallest6 · chance 5.3
2nd smallest29 · chance 24.9
3rd smallest34 · chance 39.5
4th smallest24 · chance 24.9
5th smallest7 · chance 5.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 10.0 shared draws, and the leaders are simply the ones that came out ahead this time.

40 16 27 2 32 8

It has shared a draw with every one of the other 40 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 41. 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
2023-09-27	4	2nd	8 21 25 29 40
2023-09-23	4	3rd	3 20 21 29 40
2023-09-19	6	4th	3 7 10 21 24
2023-09-13	8	3rd	3 9 21

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 5/41 tonight whatever it did last week.

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