Number 21

In Cash 5 under the 5/41 · Apr 2014 – Jun 2017 rules — 1,156 draws, 5 from 1–41 (an earlier era).

136times drawn · chance expected 141 −0.45σ

6draws waiting · a wait this long: 52% for any number

8.4average wait between appearances · chance says 8.2

56longest completed wait · 10% chance of one at least that long

21 is drawn as often as chance explains

Drawn 136 times in 1,156 draws against 141.0 expected, −0.45σ. Each draw is independent: after 6 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 21, draw by draw

Drawn 136 times in 1,156 draws · average wait 8.4 draws · longest completed wait 56 · waiting 6 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 smallest8 · chance 7.2
2nd smallest33 · chance 33.9
3rd smallest55 · chance 53.7
4th smallest34 · chance 33.9
5th smallest6 · chance 7.2

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 13.6 shared draws, and the leaders are simply the ones that came out ahead this time.

37 2 7 13 29 9

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
2017-06-12	3	3rd	12 13 21 24 34
2017-06-09	2	4th	7 8 16 21 22
2017-06-07	7	2nd	19 21 23 35 38
2017-05-31	6	3rd	7 16 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.

2017-01-21	6	3rd	9 14 21 31 36
2017-01-15	6	2nd	1 21 23 31 40
2017-01-09	11	2nd	9 21 23 30 40
2016-12-29	7	2nd	16 21 22 33 39
2016-12-22	1	3rd	5 17 21 25 30
2016-12-21	6	1st	21 22 29 33 41
2016-12-15	2	3rd	14 20 21 35 41
2016-12-13	13	3rd	4 7 21 23 28
2016-11-30	11	2nd	1 21 22 31 39
2016-11-19	7	4th	1 11 15 21 36
2016-11-12	2	1st	21 27 28 31 40
2016-11-10	6	3rd	4 6 21 22 25
2016-11-04	1	4th	2 5 6 21 31
2016-11-03	12	3rd	17 20 21 22 36
2016-10-22	17	4th	7 12 16 21 34
2016-10-05	15	2nd	2 21 33 39 41
2016-09-20	9	2nd	5 21 29 33 41
2016-09-11	5	2nd	20 21 31 33 37
2016-09-06	3	4th	7 8 9 21 32
2016-09-03	1	3rd	12 13 21 24 32
2016-09-02	37	3rd	3 5 21 29 41
2016-07-27	8	1st	21 24 29 36 37
2016-07-19	6	2nd	14 21 22 27 31
2016-07-13	5	3rd	5 11 21 34 35
2016-07-08	3	4th	7 10 11 21 31
2016-07-05	2	2nd	5 21 29 36 40
2016-07-03	2	2nd	9 21 26 37 40
2016-07-01	1	4th	1 2 9 21 24
2016-06-30	8	4th	2 7 13 21 40
2016-06-22	7	5th	8 13 16 19 21
2016-06-15	4	3rd	17 20 21 24 25
2016-06-11	4	4th	6 10 11 21 22
2016-06-07	16	3rd	2 11 21 27 31
2016-05-22	5	2nd	6 21 29 30 36
2016-05-17	2	2nd	18 21 23 27 37
2016-05-15	6	3rd	1 16 21 26 40
2016-05-09	31	5th	1 7 8 13 21
2016-04-08	8	1st	21 31 34 35 37
2016-03-31	6	4th	9 14 19 21 41
2016-03-25	2	4th	13 15 18 21 41
2016-03-23	1	2nd	2 21 28 34 35
2016-03-22	25	3rd	2 14 21 30 32
2016-02-26	11	3rd	8 20 21 27 29
2016-02-15	2	3rd	10 15 21 29 37
2016-02-13	12	3rd	2 13 21 34 41
2016-02-01	12	3rd	2 7 21 27 28
2016-01-20	7	5th	10 13 15 18 21
2016-01-13	3	3rd	14 19 21 29 30
2016-01-10	7	2nd	19 21 23 34 39
2016-01-03	17	2nd	14 21 23 28 38
2015-12-17	13	3rd	4 14 21 29 39
2015-12-04	2	4th	11 13 19 21 37
2015-12-02	13	3rd	12 18 21 26 29
2015-11-19	31	2nd	18 21 22 25 41
2015-10-19	2	2nd	16 21 25 34 35
2015-10-17	17	3rd	4 14 21 31 39
2015-09-30	7	2nd	9 21 28 34 38
2015-09-23	1	5th	5 6 16 19 21
2015-09-22	7	4th	4 10 14 21 30
2015-09-15	27	4th	3 13 20 21 28
2015-08-19	2	4th	2 9 11 21 33
2015-08-17	3	2nd	13 21 23 28 41
2015-08-14	8	3rd	13 20 21 22 27
2015-08-06	17	3rd	3 7 21 26 29
2015-07-20	1	5th	8 9 14 18 21
2015-07-19	5	4th	6 16 17 21 32
2015-07-14	15	4th	12 14 16 21 36
2015-06-29	22	5th	2 7 9 17 21
2015-06-07	5	3rd	9 11 21 25 35
2015-06-02	1	2nd	7 21 22 25 33
2015-06-01	16	3rd	4 15 21 26 41
2015-05-16	1	1st	21 27 31 36 37
2015-05-15	2	3rd	7 10 21 37 40
2015-05-13	2	3rd	7 8 21 39 40
2015-05-11	4	4th	4 5 10 21 34
2015-05-07	16	3rd	18 19 21 26 37
2015-04-20	5	3rd	5 11 21 22 26
2015-04-15	3	3rd	3 17 21 27 33
2015-04-12	6	3rd	10 17 21 33 37
2015-04-06	5	2nd	9 21 31 32 41
2015-04-01	14	2nd	17 21 23 30 38
2015-03-18	16	3rd	13 15 21 23 35
2015-03-02	2	4th	2 7 11 21 34
2015-02-28	2	2nd	17 21 32 37 40
2015-02-26	2	3rd	15 20 21 28 32
2015-02-24	9	3rd	15 19 21 25 36
2015-02-15	5	3rd	6 8 21 23 33
2015-02-10	17	2nd	20 21 31 37 39
2015-01-24	42	3rd	12 16 21 24 39
2014-12-13	10	4th	3 11 13 21 32
2014-12-03	7	3rd	10 11 21 29 34
2014-11-26	56	4th	9 10 11 21 40
2014-10-01	8	4th	2 7 12 21 37
2014-09-23	10	1st	21 26 32 34 35
2014-09-13	1	3rd	10 20 21 25 34
2014-09-12	2	3rd	4 17 21 28 37
2014-09-10	7	3rd	6 10 21 30 34
2014-09-03	2	4th	3 13 20 21 24
2014-09-01	14	4th	1 2 13 21 39
2014-08-18	12	4th	5 14 20 21 35
2014-08-06	5	2nd	15 21 29 30 37
2014-08-01	7	4th	4 13 18 21 30
2014-07-25	3	3rd	7 19 21 22 32
2014-07-22	9	2nd	13 21 29 36 41
2014-07-13	3	3rd	3 17 21 23 24
2014-07-10	11	4th	2 3 14 21 29
2014-06-29	7	3rd	2 3 21 28 32
2014-06-22	16	4th	7 8 12 21 27
2014-06-06	16	4th	1 9 16 21 22
2014-05-21	21	4th	1 8 9 21 22
2014-04-30	4	2nd	10 21 24 32 33
2014-04-26	—	2nd	5 21 24 38 41