Number 21

In Cash 5 under the 5/39 · Apr 2010 – May 2016 rules — 2,219 draws, 5 from 1–39 (an earlier era).

280times drawn · chance expected 284 −0.28σ

0draws waiting — it came up last time

7.9average wait between appearances · chance says 7.8

53longest completed wait · 20% chance of one at least that long

21 is drawn as often as chance explains

Drawn 280 times in 2,219 draws against 284.5 expected, −0.28σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 21, draw by draw

Drawn 280 times in 2,219 draws · average wait 7.9 draws · longest completed wait 53 · 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 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 smallest11 · chance 11.6
2nd smallest46 · chance 61.9
3rd smallest126 · chance 110.3
4th smallest80 · chance 77.8
5th smallest17 · chance 18.4

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 29.5 shared draws, and the leaders are simply the ones that came out ahead this time.

11 24 29 10 36 8

It has shared a draw with every one of the other 38 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 39. 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
2016-05-16	12	2nd	18 21 24 32 39
2016-05-04	8	4th	5 9 14 21 26
2016-04-26	2	4th	3 8 13 21 37
2016-04-24	13	3rd	3 14 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 5/39 tonight whatever it did last week.

2015-12-09	14	4th	3 8 11 21 28
2015-11-25	1	2nd	18 21 22 26 32
2015-11-24	1	5th	3 7 19 20 21
2015-11-23	16	4th	3 5 16 21 33
2015-11-07	1	3rd	3 10 21 24 29
2015-11-06	1	2nd	7 21 24 30 35
2015-11-05	9	3rd	14 16 21 36 38
2015-10-27	1	4th	16 19 20 21 39
2015-10-26	4	3rd	11 19 21 31 36
2015-10-22	1	2nd	7 21 24 27 30
2015-10-21	12	4th	15 16 18 21 31
2015-10-09	10	3rd	6 11 21 28 29
2015-09-29	3	3rd	10 11 21 27 29
2015-09-26	24	3rd	15 20 21 24 34
2015-09-02	3	3rd	14 17 21 30 38
2015-08-30	3	4th	6 10 12 21 28
2015-08-27	1	4th	5 7 8 21 26
2015-08-26	6	4th	4 9 14 21 24
2015-08-20	19	2nd	5 21 27 30 36
2015-08-01	19	3rd	11 17 21 26 35
2015-07-13	13	3rd	18 19 21 22 25
2015-06-30	2	3rd	3 11 21 30 39
2015-06-28	10	4th	7 9 20 21 37
2015-06-18	5	3rd	11 15 21 28 39
2015-06-13	11	4th	5 7 18 21 37
2015-06-02	18	5th	5 16 17 20 21
2015-05-15	5	3rd	5 10 21 22 30
2015-05-10	3	3rd	1 2 21 25 33
2015-05-07	5	4th	2 10 17 21 38
2015-05-01	53	3rd	4 7 21 30 32
2015-03-09	5	3rd	5 8 21 23 34
2015-03-04	4	4th	12 13 16 21 29
2015-02-28	11	3rd	3 17 21 27 31
2015-02-17	11	3rd	8 11 21 25 31
2015-02-06	7	3rd	4 12 21 23 31
2015-01-30	7	4th	1 10 20 21 32
2015-01-23	7	2nd	1 21 23 24 36
2015-01-16	3	3rd	2 10 21 25 29
2015-01-13	3	5th	7 11 17 18 21
2015-01-10	9	2nd	20 21 25 26 38
2015-01-01	6	2nd	18 21 32 36 37
2014-12-26	23	2nd	14 21 35 36 39
2014-12-03	3	3rd	8 15 21 24 34
2014-11-30	1	5th	2 11 13 19 21
2014-11-29	11	3rd	3 9 21 30 35
2014-11-18	1	3rd	10 19 21 29 34
2014-11-17	15	2nd	16 21 26 32 36
2014-11-02	2	3rd	6 11 21 24 35
2014-10-31	1	5th	3 11 17 18 21
2014-10-30	2	3rd	13 15 21 25 27
2014-10-28	1	4th	3 13 20 21 36
2014-10-27	42	3rd	7 14 21 22 27
2014-09-15	1	3rd	7 10 21 22 24
2014-09-14	6	2nd	10 21 23 26 36
2014-09-08	2	4th	1 3 9 21 39
2014-09-06	3	4th	5 13 15 21 27
2014-09-03	3	3rd	4 20 21 28 31
2014-08-31	9	3rd	1 18 21 29 32
2014-08-22	14	3rd	5 11 21 29 38
2014-08-08	9	3rd	5 13 21 24 33
2014-07-30	9	4th	4 7 17 21 26
2014-07-21	5	5th	1 5 12 20 21
2014-07-16	11	2nd	13 21 27 28 34
2014-07-05	13	2nd	15 21 22 24 36
2014-06-22	1	2nd	4 21 26 35 37
2014-06-21	19	2nd	17 21 26 32 35
2014-06-02	1	3rd	9 11 21 32 39
2014-06-01	2	3rd	4 13 21 36 38
2014-05-30	2	1st	21 25 29 31 39
2014-05-28	7	4th	3 6 14 21 32
2014-05-21	5	3rd	4 11 21 26 29
2014-05-16	9	3rd	8 20 21 33 35
2014-05-07	6	4th	9 12 13 21 23
2014-05-01	2	4th	5 8 11 21 39
2014-04-29	3	2nd	9 21 27 33 35
2014-04-26	2	3rd	7 16 21 22 35
2014-04-24	9	4th	13 19 20 21 33
2014-04-15	6	4th	1 17 19 21 37
2014-04-09	8	4th	13 18 20 21 36
2014-04-01	10	1st	21 27 28 35 38
2014-03-22	1	3rd	9 14 21 27 36
2014-03-21	6	4th	7 10 13 21 37
2014-03-15	4	4th	12 15 16 21 33
2014-03-11	14	4th	11 14 20 21 22
2014-02-25	10	3rd	4 14 21 29 39
2014-02-15	4	3rd	3 16 21 23 29
2014-02-11	3	3rd	13 20 21 23 24
2014-02-08	1	3rd	9 20 21 25 27
2014-02-07	2	4th	9 15 17 21 24
2014-02-05	18	2nd	18 21 28 30 32
2014-01-18	5	3rd	15 16 21 22 29
2014-01-13	3	3rd	2 4 21 28 34
2014-01-10	2	4th	8 19 20 21 24
2014-01-08	1	4th	1 10 11 21 24
2014-01-07	20	3rd	6 19 21 24 38
2013-12-18	4	2nd	3 21 30 31 33
2013-12-14	3	3rd	1 2 21 23 31
2013-12-11	10	2nd	8 21 25 35 38
2013-12-01	6	5th	1 5 8 19 21
2013-11-25	8	4th	5 13 14 21 31
2013-11-17	1	4th	7 10 15 21 23
2013-11-16	4	1st	21 25 31 32 37
2013-11-12	6	3rd	1 10 21 24 34
2013-11-06	4	3rd	9 17 21 36 37
2013-11-02	4	2nd	12 21 22 36 38
2013-10-29	15	3rd	6 11 21 32 36
2013-10-13	26	4th	3 4 20 21 22
2013-09-17	5	3rd	1 16 21 25 29
2013-09-12	4	2nd	1 21 28 36 37
2013-09-08	6	3rd	11 15 21 34 37
2013-09-02	8	3rd	12 14 21 22 29
2013-08-25	4	4th	8 12 19 21 32
2013-08-21	16	2nd	10 21 34 37 39
2013-08-05	16	5th	1 7 8 13 21
2013-07-20	5	3rd	8 9 21 25 26
2013-07-15	5	2nd	18 21 27 28 33
2013-07-10	2	2nd	6 21 31 33 36
2013-07-08	1	3rd	12 13 21 25 33
2013-07-07	15	2nd	1 21 31 36 39
2013-06-22	6	4th	2 11 12 21 31
2013-06-16	2	2nd	13 21 22 27 34
2013-06-14	3	4th	2 5 15 21 35
2013-06-11	14	3rd	1 6 21 25 26
2013-05-28	6	3rd	6 20 21 24 29
2013-05-22	3	2nd	3 21 25 33 34
2013-05-19	8	3rd	2 9 21 28 32
2013-05-11	3	2nd	20 21 24 27 38
2013-05-08	1	1st	21 30 32 38 39
2013-05-07	5	3rd	8 11 21 24 29
2013-05-02	13	4th	16 17 20 21 29
2013-04-19	6	2nd	11 21 22 26 32
2013-04-13	24	3rd	4 15 21 26 37
2013-03-20	1	2nd	11 21 30 31 37
2013-03-19	4	3rd	2 5 21 22 35
2013-03-15	9	3rd	11 19 21 25 27
2013-03-06	21	3rd	8 9 21 22 35
2013-02-13	1	3rd	10 15 21 25 39
2013-02-12	9	3rd	1 9 21 32 38
2013-02-03	10	1st	21 25 28 33 36
2013-01-24	2	4th	1 10 12 21 35
2013-01-22	9	4th	8 9 19 21 38
2013-01-13	3	3rd	2 18 21 35 39
2013-01-10	3	3rd	16 17 21 26 37
2013-01-07	2	2nd	3 21 22 33 35
2013-01-05	6	3rd	12 16 21 27 34
2012-12-30	5	4th	5 6 12 21 31
2012-12-25	10	4th	7 13 20 21 22
2012-12-15	15	3rd	7 11 21 31 39
2012-11-30	11	3rd	14 16 21 24 33
2012-11-19	33	3rd	7 16 21 29 36
2012-10-17	6	2nd	5 21 22 24 31
2012-10-11	4	3rd	3 5 21 23 36
2012-10-07	2	2nd	10 21 22 29 37
2012-10-05	13	3rd	1 9 21 22 29
2012-09-22	4	3rd	3 11 21 24 27
2012-09-18	2	2nd	9 21 23 31 32
2012-09-16	5	3rd	1 17 21 30 34
2012-09-11	4	4th	2 13 15 21 30
2012-09-07	10	4th	4 5 16 21 34
2012-08-28	7	4th	10 14 17 21 27
2012-08-21	12	3rd	1 6 21 29 39
2012-08-09	13	4th	6 9 10 21 35
2012-07-27	28	3rd	8 13 21 23 38
2012-06-28	13	2nd	15 21 24 26 39
2012-06-15	2	4th	6 17 18 21 25
2012-06-13	25	3rd	11 18 21 29 38
2012-05-19	2	5th	14 15 16 20 21
2012-05-17	3	4th	5 6 17 21 24
2012-05-14	7	3rd	4 8 21 30 38
2012-05-04	7	3rd	5 19 21 28 34
2012-04-27	5	4th	10 11 15 21 38
2012-04-22	10	4th	7 19 20 21 22
2012-04-12	2	4th	1 3 6 21 27
2012-04-10	4	3rd	4 12 21 27 28
2012-04-06	8	1st	21 25 26 33 39
2012-03-29	7	4th	2 15 17 21 29
2012-03-22	12	4th	8 9 18 21 29
2012-03-10	1	3rd	14 16 21 25 28
2012-03-09	3	4th	4 12 15 21 31
2012-03-06	7	3rd	6 10 21 32 35
2012-02-28	4	2nd	15 21 30 31 32
2012-02-24	16	3rd	4 13 21 25 27
2012-02-08	26	3rd	7 10 21 30 33
2012-01-13	4	3rd	13 17 21 29 30
2012-01-09	15	1st	21 31 35 36 39
2011-12-25	7	1st	21 26 27 30 33
2011-12-18	8	4th	4 5 9 21 37
2011-12-10	8	3rd	10 19 21 27 31
2011-12-02	2	4th	10 11 20 21 32
2011-11-30	15	3rd	8 9 21 33 37
2011-11-15	2	4th	1 7 17 21 39
2011-11-13	10	3rd	2 20 21 29 37
2011-11-03	10	3rd	7 8 21 29 32
2011-10-24	1	3rd	2 14 21 24 39
2011-10-23	20	3rd	10 16 21 22 37
2011-10-01	19	5th	2 9 14 16 21
2011-09-12	14	3rd	2 17 21 32 39
2011-08-29	26	2nd	14 21 22 26 31
2011-07-31	22	3rd	11 15 21 24 39
2011-07-09	24	3rd	16 20 21 26 27
2011-06-15	3	5th	4 5 9 18 21
2011-06-12	4	4th	9 18 19 21 30
2011-06-08	7	4th	2 10 11 21 38
2011-06-01	6	5th	6 7 8 13 21
2011-05-26	11	4th	4 11 18 21 36
2011-05-15	8	3rd	9 19 21 25 32
2011-05-07	13	3rd	14 18 21 22 33
2011-04-24	1	2nd	16 21 23 31 38
2011-04-23	9	2nd	6 21 28 34 37
2011-04-13	1	5th	4 9 15 16 21
2011-04-12	13	3rd	17 19 21 29 38
2011-03-30	12	2nd	6 21 24 28 36
2011-03-18	4	3rd	7 16 21 26 35
2011-03-14	14	4th	6 15 16 21 36
2011-02-28	4	3rd	6 11 21 24 31
2011-02-24	2	4th	4 14 20 21 34
2011-02-22	7	3rd	11 15 21 34 35
2011-02-15	4	4th	9 17 18 21 27
2011-02-11	13	2nd	8 21 31 36 39
2011-01-28	2	3rd	16 19 21 26 30
2011-01-26	1	1st	21 27 28 31 39
2011-01-25	3	3rd	12 18 21 27 35
2011-01-22	6	4th	3 8 17 21 29
2011-01-16	9	3rd	3 6 21 23 27
2011-01-07	3	2nd	11 21 27 29 30
2011-01-04	1	3rd	11 15 21 22 29
2011-01-03	6	3rd	8 17 21 28 35
2010-12-28	1	4th	2 4 6 21 34
2010-12-27	40	4th	7 9 17 21 24
2010-11-17	10	4th	4 11 17 21 25
2010-11-07	13	2nd	8 21 22 24 27
2010-10-25	2	3rd	8 18 21 23 37
2010-10-23	1	3rd	8 16 21 28 36
2010-10-22	12	1st	21 25 32 35 36
2010-10-10	14	4th	9 10 15 21 22
2010-09-26	1	5th	3 4 11 19 21
2010-09-25	11	3rd	13 16 21 34 37
2010-09-14	10	4th	3 8 20 21 24
2010-09-04	1	3rd	6 20 21 24 35
2010-09-03	3	4th	6 7 10 21 38
2010-08-31	1	4th	1 13 16 21 29
2010-08-30	13	3rd	6 18 21 27 34
2010-08-17	27	3rd	11 18 21 22 34
2010-07-21	3	3rd	6 8 21 34 38
2010-07-18	5	4th	2 8 16 21 24
2010-07-13	2	3rd	5 18 21 22 34
2010-07-11	6	4th	8 9 18 21 30
2010-07-05	31	5th	7 11 13 14 21
2010-06-04	7	3rd	2 13 21 24 36
2010-05-28	4	4th	3 12 18 21 32
2010-05-24	8	3rd	7 15 21 36 37
2010-05-16	17	3rd	6 10 21 33 36
2010-04-29	9	3rd	10 20 21 27 28
2010-04-20	1	3rd	1 14 21 25 39
2010-04-19	5	4th	6 13 19 21 29
2010-04-14	—	3rd	4 10 21 37 39