Number 21

In Cash 5 under the 5/34 · Apr 2010 – Oct 2020 rules — 2,844 draws, 5 from 1–34 (an earlier era).

414times drawn · chance expected 418 −0.22σ

9draws waiting · a wait this long: 28% for any number

6.8average wait between appearances · chance says 6.8

31longest completed wait · 97% chance of one at least that long

21 is drawn as often as chance explains

Drawn 414 times in 2,844 draws against 418.2 expected, −0.22σ. Each draw is independent: after 9 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 21, draw by draw

Drawn 414 times in 2,844 draws · average wait 6.8 draws · longest completed wait 31 · waiting 9 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 smallest70 · chance 57.9
3rd smallest138 · chance 149.9
4th smallest159 · chance 149.9
5th smallest39 · chance 49.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 50.2 shared draws, and the leaders are simply the ones that came out ahead this time.

20 34 16 30 24 15

It has shared a draw with every one of the other 33 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 34. 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
2020-10-18	11	3rd	7 19 21 28 30
2020-10-07	15	3rd	5 20 21 32 34
2020-09-22	10	4th	3 9 15 21 25
2020-09-12	2	4th	1 8 12

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 5/34 tonight whatever it did last week.

2020-03-29	2	4th	17 19 20 21 31
2020-03-27	4	3rd	5 17 21 29 30
2019-12-31	11	4th	7 12 14 21 27
2019-12-20	1	3rd	14 16 21 22 32
2019-12-19	11	3rd	9 14 21 25 29
2019-12-08	7	4th	11 15 16 21 25
2019-12-01	2	4th	2 5 11 21 24
2019-11-29	18	1st	21 23 24 30 34
2019-11-11	5	4th	3 5 18 21 33
2019-11-06	6	3rd	15 16 21 24 28
2019-10-31	8	4th	7 12 14 21 23
2019-10-23	1	3rd	4 6 21 32 34
2019-10-22	7	4th	8 18 19 21 28
2019-10-15	5	3rd	13 20 21 30 31
2019-10-10	3	4th	4 11 20 21 31
2019-10-07	2	4th	2 10 13 21 34
2019-10-05	1	5th	7 8 12 14 21
2019-10-04	9	4th	7 12 20 21 27
2019-09-25	14	4th	2 6 18 21 33
2019-09-11	1	1st	21 27 30 32 34
2019-09-10	4	2nd	13 21 26 30 33
2019-09-06	9	4th	6 9 12 21 30
2019-08-28	1	3rd	3 20 21 27 29
2019-08-27	2	4th	5 7 15 21 31
2019-08-25	9	2nd	15 21 24 29 32
2019-08-16	12	2nd	8 21 28 29 32
2019-08-04	14	5th	6 15 17 19 21
2019-07-21	2	3rd	6 16 21 22 24
2019-07-19	10	3rd	6 17 21 22 33
2019-07-09	1	5th	3 4 5 16 21
2019-07-08	9	2nd	4 21 22 30 33
2019-06-29	2	2nd	20 21 29 33 34
2019-06-27	5	3rd	9 19 21 27 29
2019-06-22	4	3rd	2 18 21 27 28
2019-06-18	6	4th	13 16 18 21 23
2019-06-12	4	4th	2 11 15 21 33
2019-06-08	2	4th	10 11 14 21 23
2019-06-06	13	5th	7 10 11 15 21
2019-05-24	2	1st	21 23 24 28 33
2019-05-22	3	3rd	5 20 21 24 33
2019-05-19	2	1st	21 22 24 27 34
2019-05-17	7	4th	7 11 20 21 23
2019-05-10	11	2nd	20 21 27 28 34
2019-04-29	6	5th	1 2 3 19 21
2018-12-29	4	3rd	4 8 21 29 34
2018-12-25	8	3rd	2 4 21 31 33
2018-12-17	17	4th	2 9 13 21 32
2018-11-30	5	2nd	9 21 22 32 33
2018-11-25	2	3rd	7 19 21 25 27
2018-11-23	15	4th	11 13 15 21 34
2018-11-08	5	4th	14 16 17 21 33
2018-11-03	11	1st	21 22 25 26 33
2018-10-23	16	2nd	4 21 28 30 33
2018-10-07	2	4th	6 9 11 21 32
2018-10-05	5	4th	1 15 19 21 29
2018-09-30	8	3rd	5 11 21 27 31
2018-09-22	3	3rd	4 10 21 22 33
2018-09-19	4	3rd	17 19 21 31 34
2018-09-15	8	2nd	9 21 24 29 30
2018-09-07	6	4th	1 2 10 21 26
2018-09-01	1	4th	14 19 20 21 31
2018-08-31	2	2nd	14 21 24 26 32
2018-08-29	1	2nd	8 21 22 24 30
2018-08-28	5	5th	4 12 16 18 21
2018-08-23	1	4th	2 7 10 21 25
2018-08-22	18	3rd	16 17 21 22 28
2018-08-04	10	3rd	13 18 21 26 32
2018-07-25	10	5th	2 4 6 9 21
2018-07-15	2	3rd	9 20 21 29 34
2018-07-13	6	3rd	15 18 21 25 26
2018-07-07	3	4th	10 13 20 21 32
2018-07-04	4	2nd	2 21 23 25 26
2018-06-30	14	5th	1 2 19 20 21
2018-06-16	1	3rd	3 6 21 24 25
2018-06-15	18	2nd	18 21 26 29 33
2018-05-28	4	3rd	2 20 21 31 33
2018-05-24	2	2nd	20 21 22 23 29
2018-05-22	5	4th	14 16 19 21 34
2018-05-17	10	5th	4 6 9 16 21
2018-05-07	7	2nd	9 21 25 32 34
2018-04-30	6	3rd	3 9 21 22 33
2017-12-30	4	4th	3 10 16 21 31
2017-12-26	5	4th	7 8 12 21 24
2017-12-21	12	3rd	1 20 21 26 30
2017-12-09	10	4th	8 15 20 21 32
2017-11-29	2	4th	10 11 14 21 23
2017-11-27	4	2nd	13 21 23 25 31
2017-11-23	1	4th	2 3 8 21 22
2017-11-22	5	4th	5 7 12 21 32
2017-11-17	4	3rd	5 9 21 25 34
2017-11-13	16	3rd	1 19 21 22 27
2017-10-28	7	4th	2 5 9 21 32
2017-10-21	5	4th	3 7 16 21 22
2017-10-16	3	3rd	1 2 21 23 24
2017-10-13	7	5th	6 7 8 19 21
2017-10-06	1	3rd	4 13 21 23 27
2017-10-05	6	3rd	6 11 21 28 34
2017-09-29	2	3rd	11 16 21 29 32
2017-09-27	3	4th	2 10 14 21 24
2017-09-24	2	5th	4 13 16 17 21
2017-09-22	5	5th	2 10 12 13 21
2017-09-17	4	3rd	5 13 21 24 26
2017-09-13	1	4th	14 16 18 21 30
2017-09-12	4	3rd	1 10 21 32 34
2017-09-08	2	3rd	11 19 21 30 33
2017-09-06	1	3rd	14 19 21 24 30
2017-09-05	2	3rd	7 17 21 30 34
2017-09-03	11	4th	5 12 16 21 26
2017-08-23	7	3rd	4 15 21 22 31
2017-08-16	3	3rd	7 14 21 24 33
2017-08-13	7	2nd	13 21 26 27 31
2017-08-06	3	4th	3 4 14 21 30
2017-08-03	14	4th	1 9 10 21 25
2017-07-20	5	4th	8 16 20 21 29
2017-07-15	23	3rd	5 18 21 26 34
2017-06-22	5	4th	2 9 18 21 22
2017-06-17	1	3rd	3 14 21 28 32
2017-06-16	31	5th	1 3 13 14 21
2017-05-16	4	1st	21 23 25 28 31
2017-05-12	1	5th	1 8 17 18 21
2017-05-11	4	3rd	11 14 21 31 32
2017-05-07	1	4th	4 10 13 21 23
2017-05-06	1	4th	8 10 15 21 22
2017-05-05	4	2nd	16 21 22 26 33
2017-05-01	2	4th	4 15 19 21 24
2017-04-29	1	4th	7 9 10 21 25
2017-04-28	26	4th	3 5 18 21 30
2016-12-08	1	3rd	3 20 21 30 31
2016-12-07	2	2nd	13 21 22 28 34
2016-12-05	11	4th	8 16 20 21 24
2016-11-24	1	3rd	12 15 21 23 24
2016-11-23	1	2nd	6 21 27 33 34
2016-11-22	1	5th	9 14 15 20 21
2016-11-21	6	2nd	14 21 22 23 32
2016-11-15	5	3rd	6 12 21 22 25
2016-11-10	6	3rd	1 14 21 31 34
2016-11-04	28	3rd	3 15 21 23 30
2016-10-07	3	4th	6 11 12 21 31
2016-10-04	4	2nd	20 21 23 24 25
2016-09-30	1	5th	10 12 15 20 21
2016-09-29	6	3rd	3 4 21 23 31
2016-09-23	8	3rd	12 19 21 27 28
2016-09-15	3	4th	5 8 10 21 24
2016-09-12	5	4th	3 12 15 21 23
2016-09-07	1	5th	6 14 16 19 21
2016-09-06	10	4th	1 5 13 21 26
2016-08-27	8	4th	10 11 13 21 28
2016-08-19	4	5th	7 10 11 12 21
2016-08-15	5	3rd	2 9 21 23 30
2016-08-10	4	4th	2 10 15 21 29
2016-08-06	5	3rd	1 15 21 22 33
2016-08-01	7	3rd	1 11 21 32 34
2016-07-25	3	2nd	8 21 31 32 33
2016-07-22	11	4th	11 14 19 21 24
2016-07-11	7	3rd	11 16 21 27 30
2016-07-04	19	3rd	2 7 21 33 34
2016-06-15	10	4th	4 5 20 21 27
2016-06-05	7	4th	1 2 7 21 27
2016-05-29	27	4th	3 6 16 21 25
2016-05-02	5	1st	21 26 27 28 29
2016-04-27	1	5th	4 10 13 16 21
2016-04-26	3	4th	11 19 20 21 34
2015-12-29	13	3rd	10 18 21 26 28
2015-12-16	5	5th	1 4 14 17 21
2015-12-11	1	4th	3 6 20 21 23
2015-12-10	4	3rd	6 20 21 23 28
2015-12-06	8	4th	4 13 20 21 26
2015-11-28	6	4th	3 5 6 21 30
2015-11-22	2	3rd	4 20 21 26 27
2015-11-20	12	5th	6 15 17 19 21
2015-11-08	12	3rd	10 17 21 24 25
2015-10-27	19	5th	3 9 17 20 21
2015-10-08	4	3rd	4 19 21 22 31
2015-10-04	6	2nd	14 21 25 29 30
2015-09-28	7	3rd	15 16 21 31 34
2015-09-21	9	2nd	13 21 28 31 34
2015-09-12	4	3rd	2 20 21 25 33
2015-09-08	2	2nd	19 21 22 28 33
2015-09-06	1	3rd	1 6 21 29 34
2015-09-05	7	2nd	3 21 24 27 34
2015-08-29	4	4th	6 13 17 21 34
2015-08-25	10	4th	2 7 11 21 31
2015-08-15	1	4th	12 17 19 21 33
2015-08-14	15	3rd	4 14 21 25 31
2015-07-30	29	2nd	5 21 23 24 34
2015-07-01	15	3rd	8 12 21 24 29
2015-06-16	9	4th	7 12 17 21 32
2015-06-07	7	4th	1 4 13 21 34
2015-05-31	3	2nd	18 21 25 27 29
2015-05-28	6	5th	1 5 15 20 21
2015-05-22	8	2nd	3 21 26 27 29
2015-05-14	3	4th	4 6 16 21 22
2015-05-11	12	4th	10 14 16 21 30
2015-04-28	2	3rd	6 10 21 27 30
2015-04-26	13	4th	14 16 20 21 29
2014-12-20	2	3rd	12 14 21 30 34
2014-12-18	2	4th	8 15 18 21 33
2014-12-16	13	5th	3 8 15 19 21
2014-12-03	4	5th	10 11 18 20 21
2014-11-29	1	2nd	3 21 24 25 30
2014-11-28	10	5th	3 8 11 20 21
2014-11-18	7	3rd	14 18 21 25 27
2014-11-11	13	4th	13 14 20 21 24
2014-10-29	4	3rd	17 18 21 25 34
2014-10-25	7	3rd	7 13 21 24 27
2014-10-18	5	4th	4 5 8 21 25
2014-10-13	22	4th	13 14 16 21 23
2014-09-21	5	3rd	3 5 21 22 25
2014-09-16	19	4th	3 5 20 21 30
2014-08-28	1	2nd	2 21 29 30 32
2014-08-27	4	3rd	5 16 21 28 30
2014-08-23	3	2nd	7 21 23 31 34
2014-08-20	5	4th	6 10 16 21 25
2014-08-15	1	4th	7 19 20 21 34
2014-08-14	19	4th	3 7 12 21 30
2014-07-26	7	4th	2 11 13 21 33
2014-07-19	4	2nd	8 21 22 25 27
2014-07-15	1	4th	5 8 11 21 34
2014-07-14	11	3rd	3 20 21 27 31
2014-07-03	6	3rd	8 16 21 23 29
2014-06-27	19	4th	6 8 11 21 25
2014-06-08	1	3rd	4 5 21 24 27
2014-06-07	11	4th	12 14 17 21 24
2014-05-27	5	5th	2 6 13 20 21
2014-05-22	21	4th	4 9 18 21 25
2014-05-01	28	3rd	16 19 21 26 34
2013-12-09	4	4th	7 14 15 21 32
2013-12-05	1	4th	6 8 10 21 33
2013-12-04	1	3rd	6 8 21 24 26
2013-12-03	1	3rd	14 15 21 22 27
2013-12-02	3	2nd	11 21 22 23 34
2013-11-29	2	4th	2 7 11 21 22
2013-11-27	1	3rd	12 19 21 26 28
2013-11-26	2	5th	8 11 15 16 21
2013-11-24	2	3rd	12 16 21 24 26
2013-11-22	18	4th	2 8 16 21 23
2013-11-04	2	2nd	12 21 25 26 29
2013-11-02	30	2nd	19 21 23 24 33
2013-10-02	16	3rd	15 20 21 24 25
2013-09-16	13	3rd	15 20 21 22 28
2013-09-03	10	3rd	1 6 21 26 30
2013-08-24	5	4th	1 5 8 21 29
2013-08-19	7	2nd	8 21 23 32 34
2013-08-12	1	3rd	12 18 21 28 32
2013-08-11	6	2nd	9 21 25 32 34
2013-08-05	2	4th	3 8 17 21 31
2013-08-03	2	4th	6 9 13 21 27
2013-08-01	9	4th	9 10 17 21 29
2013-07-23	1	3rd	3 7 21 28 29
2013-07-22	10	3rd	6 12 21 22 31
2013-07-12	18	3rd	6 16 21 25 28
2013-06-24	1	3rd	18 19 21 27 28
2013-06-23	3	4th	8 11 18 21 29
2013-06-20	2	4th	2 10 16 21 28
2013-06-18	5	2nd	17 21 24 26 27
2013-06-13	21	4th	5 15 17 21 31
2013-05-23	19	4th	3 14 18 21 34
2013-05-04	6	4th	7 13 16 21 30
2013-04-28	6	4th	3 8 15 21 27
2012-12-29	6	2nd	17 21 22 31 32
2012-12-23	22	3rd	6 9 21 27 34
2012-12-01	2	3rd	8 15 21 30 33
2012-11-29	2	2nd	17 21 22 27 34
2012-11-27	20	4th	8 12 15 21 26
2012-11-07	2	4th	6 14 20 21 23
2012-11-05	9	2nd	16 21 26 28 30
2012-10-27	4	4th	2 3 6 21 34
2012-10-23	5	3rd	17 19 21 29 33
2012-10-18	6	4th	1 8 11 21 34
2012-10-12	28	1st	21 22 26 30 34
2012-09-14	8	2nd	14 21 22 23 25
2012-09-06	5	5th	2 7 12 16 21
2012-09-01	6	4th	4 5 11 21 25
2012-08-26	5	2nd	15 21 28 29 31
2012-08-21	26	4th	2 5 20 21 23
2012-07-26	1	4th	12 16 19 21 30
2012-07-25	14	4th	1 3 11 21 29
2012-07-11	10	3rd	13 16 21 24 34
2012-07-01	2	2nd	19 21 23 32 34
2012-06-28	9	4th	9 15 17 21 23
2012-06-19	15	4th	2 11 17 21 24
2012-06-04	4	2nd	16 21 23 24 29
2012-05-31	8	3rd	10 14 21 26 33
2012-05-23	3	3rd	4 9 21 27 32
2012-05-20	26	4th	1 13 16 21 28
2011-12-30	1	2nd	8 21 27 28 31
2011-12-29	6	3rd	12 20 21 23 24
2011-12-23	4	4th	3 6 12 21 30
2011-12-19	2	3rd	7 20 21 23 31
2011-12-17	3	4th	4 11 16 21 34
2011-12-14	5	4th	8 13 20 21 24
2011-12-09	5	3rd	2 8 21 24 25
2011-12-04	3	4th	2 11 20 21 32
2011-12-01	17	5th	4 15 17 20 21
2011-11-14	6	2nd	12 21 22 26 30
2011-11-08	1	3rd	9 12 21 24 28
2011-11-07	1	5th	4 10 13 16 21
2011-11-06	6	4th	3 4 16 21 28
2011-10-31	15	2nd	18 21 28 29 33
2011-10-16	14	5th	2 4 18 20 21
2011-09-30	4	2nd	14 21 25 27 30
2011-09-26	1	4th	2 6 19 21 34
2011-09-25	2	3rd	7 9 21 31 32
2011-09-23	3	4th	9 11 20 21 33
2011-09-20	3	4th	9 10 20 21 34
2011-09-17	1	4th	9 12 16 21 32
2011-09-16	2	5th	1 14 16 17 21
2011-09-14	5	4th	1 17 20 21 22
2011-09-09	19	3rd	8 13 21 29 33
2011-08-20	2	3rd	5 10 21 32 33
2011-08-18	3	3rd	7 19 21 22 28
2011-08-15	12	3rd	8 19 21 28 30
2011-08-01	2	2nd	1 21 23 28 30
2011-07-30	1	2nd	15 21 23 31 32
2011-07-29	6	3rd	11 12 21 30 32
2011-07-23	12	2nd	3 21 22 23 32
2011-07-11	3	3rd	3 10 21 22 28
2011-07-08	3	3rd	4 12 21 30 33
2011-07-05	6	4th	2 5 15 21 34
2011-06-29	9	4th	4 8 19 21 25
2011-06-20	3	2nd	15 21 29 30 31
2011-06-17	6	5th	8 10 18 20 21
2011-06-11	23	3rd	11 15 21 22 24
2011-05-19	11	4th	1 12 13 21 22
2011-05-08	5	4th	17 18 20 21 26
2011-05-03	1	3rd	11 19 21 22 23
2011-05-02	3	3rd	8 9 21 31 34
2011-04-29	6	5th	1 5 8 17 21
2011-04-23	1	2nd	6 21 24 30 33
2011-04-22	1	3rd	16 18 21 30 33
2011-04-21	5	3rd	9 15 21 26 28
2011-04-15	4	3rd	7 9 21 22 33
2011-04-11	6	4th	2 16 20 21 34
2011-04-05	2	4th	4 9 15 21 27
2011-04-03	5	2nd	3 21 24 25 34
2011-03-29	4	4th	11 16 20 21 34
2011-03-25	1	3rd	6 8 21 31 34
2011-03-24	1	4th	2 10 19 21 30
2011-03-23	2	4th	17 18 19 21 25
2011-03-21	10	4th	6 12 14 21 34
2011-03-11	3	4th	2 5 11 21 30
2011-03-08	20	3rd	12 17 21 30 34
2011-02-16	3	3rd	11 20 21 22 28
2011-02-13	4	4th	1 7 8 21 24
2011-02-09	2	5th	9 14 16 18 21
2011-02-07	1	3rd	9 17 21 22 26
2011-02-06	11	3rd	1 15 21 30 32
2011-01-26	8	2nd	2 21 22 30 32
2011-01-18	8	3rd	2 13 21 26 28
2011-01-10	15	2nd	14 21 22 25 28
2010-12-26	13	2nd	7 21 25 28 32
2010-12-13	13	2nd	1 21 24 29 32
2010-11-30	1	4th	5 6 13 21 28
2010-11-29	3	3rd	7 9 21 29 31
2010-11-26	5	4th	4 12 18 21 29
2010-11-21	5	3rd	1 2 21 22 33
2010-11-16	4	3rd	10 18 21 24 31
2010-11-12	10	4th	9 10 16 21 25
2010-11-02	2	4th	1 10 11 21 32
2010-10-31	2	4th	4 6 12 21 30
2010-10-29	4	3rd	10 16 21 22 29
2010-10-25	12	2nd	2 21 22 28 29
2010-10-13	11	2nd	7 21 27 29 31
2010-10-02	3	3rd	15 17 21 23 29
2010-09-29	12	3rd	3 19 21 27 29
2010-09-17	3	3rd	13 15 21 25 34
2010-09-14	3	4th	4 11 20 21 27
2010-09-11	7	4th	8 15 20 21 22
2010-09-04	2	2nd	17 21 23 27 29
2010-09-02	2	4th	9 11 13 21 25
2010-08-31	2	2nd	5 21 27 28 32
2010-08-29	12	4th	13 16 18 21 34
2010-08-17	19	3rd	7 20 21 24 33
2010-07-29	2	4th	11 12 16 21 27
2010-07-27	2	3rd	14 15 21 24 29
2010-07-25	13	4th	13 16 19 21 31
2010-07-12	2	4th	4 11 15 21 23
2010-07-10	5	3rd	5 7 21 23 28
2010-07-05	4	4th	12 15 17 21 26
2010-07-01	6	5th	10 11 13 16 21
2010-06-25	13	5th	2 3 6 8 21
2010-06-12	5	5th	4 10 11 15 21
2010-06-07	3	4th	3 7 19 21 28
2010-06-04	2	4th	1 9 19 21 28
2010-06-02	5	2nd	8 21 22 27 29
2010-05-28	1	4th	10 11 15 21 24
2010-05-27	3	4th	13 19 20 21 23
2010-05-24	12	4th	2 7 12 21 23
2010-05-12	4	4th	8 9 13 21 28
2010-05-08	—	3rd	8 18 21 24 27