Number 21

In Cash 5 under the 5/41 · May 2016 – Nov 2018 rules — 897 draws, 5 from 1–41 (an earlier era).

114times drawn · chance expected 109 +0.47σ

3draws waiting · a wait this long: 77% for any number

7.8average wait between appearances · chance says 8.2

40longest completed wait · 51% chance of one at least that long

21 is drawn as often as chance explains

Drawn 114 times in 897 draws against 109.4 expected, +0.47σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 21, draw by draw

Drawn 114 times in 897 draws · average wait 7.8 draws · longest completed wait 40 · waiting 3 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 smallest4 · chance 6.0
2nd smallest39 · chance 28.4
3rd smallest42 · chance 45.0
4th smallest21 · chance 28.4
5th smallest8 · chance 6.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 11.4 shared draws, and the leaders are simply the ones that came out ahead this time.

35 36 1 13 7 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
2018-10-31	2	2nd	13 21 29 36 39
2018-10-29	10	3rd	8 17 21 35 38
2018-10-19	14	5th	3 7 8 17 21
2018-10-05	10	2nd	16 21 25

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.

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