Number 21

In Lotto under the 6/40 · Apr 2010 – Aug 2020 rules — 1,077 draws, 6 from 1–40 (an earlier era).

159times drawn · chance expected 162 −0.22σ

0draws waiting — it came up last time

6.8average wait between appearances · chance says 6.7

41longest completed wait · 21% chance of one at least that long

21 is drawn as often as chance explains

Drawn 159 times in 1,077 draws against 161.5 expected, −0.22σ. 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 159 times in 1,077 draws · average wait 6.8 draws · longest completed wait 41 · 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 smallest3 · chance 3.2
2nd smallest20 · chance 21.4
3rd smallest53 · chance 50.8
4th smallest48 · chance 53.8
5th smallest30 · chance 25.4
6th smallest5 · chance 4.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 20.4 shared draws, and the leaders are simply the ones that came out ahead this time.

40 14 5 16 11 19

It has shared a draw with every one of the other 39 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 40. 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
2020-08-08	1	6th	6 8 9 12 17 21
2020-08-05	6	2nd	3 21 27 29 32 35
2020-07-15	1	4th	5 10 11 21 31 32
2020-07-11	3

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 6/40 tonight whatever it did last week.

2019-03-13	1	4th	16 17 18 21 22 30
2019-03-09	3	2nd	14 21 25 29 33 40
2019-02-27	15	4th	9 13 20 21 29 39
2019-01-05	7	2nd	16 21 24 30 31 40
2018-12-12	1	4th	7 13 16 21 24 40
2018-12-08	6	3rd	15 16 21 33 34 35
2018-11-17	21	5th	5 9 14 18 21 26
2018-09-05	9	2nd	16 21 24 28 34 40
2018-08-04	3	1st	21 30 31 37 38 39
2018-07-25	13	3rd	3 5 21 23 24 37
2018-06-09	4	4th	10 14 19 21 23 26
2018-05-26	15	5th	1 12 19 20 21 30
2018-04-04	9	3rd	7 20 21 27 34 35
2018-03-03	4	4th	11 13 15 21 33 40
2018-02-17	2	3rd	6 15 21 28 29 39
2018-02-10	6	3rd	4 5 21 22 32 36
2018-01-20	4	4th	2 5 16 21 23 28
2018-01-06	1	5th	5 9 11 19 21 38
2018-01-03	8	4th	1 14 17 21 33 37
2017-12-06	23	3rd	1 10 21 25 27 33
2017-09-16	12	3rd	3 9 21 22 34 39
2017-08-05	12	2nd	18 21 23 27 31 34
2017-06-24	5	2nd	16 21 30 33 34 39
2017-06-07	1	6th	1 9 13 15 20 21
2017-06-03	9	5th	4 5 19 20 21 22
2017-05-03	3	4th	8 12 20 21 30 36
2017-04-22	14	3rd	5 17 21 34 35 36
2017-03-04	5	3rd	7 18 21 24 37 40
2017-02-15	1	4th	10 11 20 21 22 32
2017-02-11	5	4th	5 6 10 21 35 37
2017-01-25	4	5th	1 2 5 15 21 26
2017-01-11	2	5th	2 11 13 18 21 29
2017-01-04	2	3rd	6 16 21 22 25 29
2016-12-28	3	2nd	11 21 35 38 39 40
2016-12-17	13	2nd	11 21 25 33 36 40
2016-11-02	3	5th	6 8 14 16 21 22
2016-10-22	7	3rd	9 20 21 24 30 33
2016-09-28	4	3rd	4 13 21 31 38 40
2016-09-14	1	4th	4 11 18 21 29 30
2016-09-10	1	5th	2 9 17 19 21 29
2016-09-07	2	3rd	9 12 21 22 27 36
2016-08-31	3	5th	1 2 9 17 21 28
2016-08-20	1	4th	3 11 16 21 31 32
2016-08-17	2	5th	6 9 10 14 21 35
2016-08-10	4	4th	6 11 14 21 29 40
2016-07-27	2	3rd	4 20 21 22 25 28
2016-07-20	2	4th	2 7 16 21 34 38
2016-07-13	11	4th	2 4 5 21 37 39
2016-06-04	13	3rd	11 15 21 24 28 29
2016-04-20	6	4th	8 9 11 21 33 37
2016-03-30	8	6th	1 5 13 14 16 21
2016-03-02	9	4th	4 10 15 21 24 36
2016-01-30	3	4th	1 19 20 21 35 40
2016-01-20	19	3rd	9 13 21 22 24 39
2015-11-14	10	4th	2 4 7 21 23 30
2015-10-10	4	4th	9 12 20 21 28 29
2015-09-26	3	3rd	7 8 21 25 37 39
2015-09-16	13	4th	9 12 14 21 22 25
2015-08-01	8	3rd	8 16 21 27 35 40
2015-07-04	2	2nd	16 21 31 36 39 40
2015-06-27	7	4th	12 13 18 21 34 39
2015-06-03	4	3rd	1 19 21 27 31 40
2015-05-20	5	3rd	2 3 21 26 30 39
2015-05-02	2	3rd	6 10 21 30 32 40
2015-04-25	10	3rd	9 20 21 26 34 35
2015-03-21	1	3rd	1 14 21 22 23 37
2015-03-18	3	3rd	10 14 21 25 30 31
2015-03-07	4	3rd	3 19 21 23 29 30
2015-02-21	3	4th	2 15 17 21 22 25
2015-02-11	17	4th	8 11 16 21 24 30
2014-12-13	10	5th	1 7 11 18 21 24
2014-11-08	10	5th	2 15 18 20 21 33
2014-10-04	2	3rd	5 17 21 25 35 37
2014-09-27	1	5th	12 13 14 19 21 30
2014-09-24	2	3rd	7 16 21 22 23 25
2014-09-17	21	4th	2 15 19 21 23 34
2014-07-05	9	4th	12 18 19 21 24 36
2014-06-04	1	2nd	7 21 30 31 34 37
2014-05-31	6	3rd	4 18 21 23 28 31
2014-05-10	1	4th	3 10 14 21 26 40
2014-05-07	7	5th	4 6 15 20 21 34
2014-04-12	3	3rd	11 16 21 23 26 38
2014-04-02	41	4th	1 4 15 21 30 37
2013-11-06	12	4th	6 10 11 21 30 32
2013-09-25	6	3rd	5 8 21 24 27 39
2013-09-04	12	5th	1 6 12 17 21 39
2013-07-24	6	3rd	5 18 21 23 25 40
2013-07-03	13	5th	1 2 4 12 21 25
2013-05-18	21	3rd	5 13 21 23 29 40
2013-03-06	4	4th	10 12 18 21 38 39
2013-02-20	4	5th	10 14 15 16 21 36
2013-02-06	3	2nd	14 21 27 35 36 40
2013-01-26	3	3rd	8 20 21 22 29 31
2013-01-16	2	4th	5 14 16 21 22 24
2013-01-09	8	2nd	13 21 26 28 31 38
2012-12-12	21	3rd	4 5 21 31 32 39
2012-09-29	7	3rd	7 9 21 23 36 38
2012-09-05	1	5th	4 10 11 14 21 31
2012-09-01	2	3rd	5 12 21 22 33 40
2012-08-25	1	1st	21 23 26 28 29 38
2012-08-22	5	2nd	19 21 23 27 30 40
2012-08-04	3	4th	1 12 19 21 27 38
2012-07-25	4	3rd	17 19 21 24 27 33
2012-07-11	25	3rd	11 13 21 28 29 38
2012-04-14	4	4th	6 7 18 21 28 31
2012-03-31	1	4th	10 11 14 21 35 40
2012-03-28	14	5th	3 5 14 16 21 40
2012-02-08	1	2nd	10 21 22 28 35 36
2012-02-04	1	5th	6 15 17 19 21 36
2012-02-01	11	3rd	3 20 21 24 28 35
2011-12-24	5	3rd	5 11 21 34 36 40
2011-12-07	3	2nd	16 21 31 32 37 40
2011-11-26	1	5th	1 9 14 19 21 39
2011-11-23	6	3rd	3 9 21 23 34 37
2011-11-02	7	5th	5 10 17 19 21 37
2011-10-08	6	3rd	17 19 21 27 30 40
2011-09-17	18	4th	2 3 20 21 24 32
2011-07-16	9	3rd	11 19 21 23 35 39
2011-06-15	2	4th	1 2 8 21 27 28
2011-06-08	18	5th	1 11 16 18 21 25
2011-04-06	4	6th	2 3 12 15 20 21
2011-03-23	5	2nd	12 21 22 23 39 40
2011-03-05	13	2nd	18 21 22 30 35 40
2011-01-19	8	5th	1 8 13 15 21 32
2010-12-18	12	3rd	1 8 21 24 29 35
2010-11-06	3	3rd	12 18 21 31 32 38
2010-10-27	8	4th	1 10 13 21 22 39
2010-09-29	3	3rd	10 14 21 25 33 36
2010-09-18	9	4th	9 14 16 21 28 31
2010-08-18	17	3rd	12 17 21 27 30 38
2010-06-19	3	3rd	8 13 21 37 38 39
2010-06-09	10	5th	3 10 14 19 21 34
2010-05-05	3	2nd	17 21 29 31 34 39
2010-04-24	5	4th	6 7 9 21 24 39
2010-04-07	—	6th	2 5 12 18 19 21