Number 21

In Fantasy 5 under the 5/39 · Jan 2010 – Oct 2015 rules — 2,098 draws, 5 from 1–39 (an earlier era).

251times drawn · chance expected 269 −1.17σ

6draws waiting · a wait this long: 50% for any number

8.4average wait between appearances · chance says 7.8

56longest completed wait · 12% chance of one at least that long

21 is drawn as often as chance explains

Drawn 251 times in 2,098 draws against 269.0 expected, −1.17σ. 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 251 times in 2,098 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 smallest9 · chance 10.4
2nd smallest47 · chance 55.5
3rd smallest107 · chance 98.8
4th smallest72 · chance 69.8
5th smallest16 · chance 16.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 26.4 shared draws, and the leaders are simply the ones that came out ahead this time.

30 10 18 19 29 31

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
2015-09-27	11	4th	7 11 13 21 23
2015-09-16	9	2nd	15 21 23 30 39
2015-09-07	6	3rd	9 17 21 31 32
2015-09-01	6	3rd	16 18

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.

2015-04-24	6	3rd	7 11 21 28 38
2015-04-18	3	3rd	11 19 21 26 39
2015-04-15	1	3rd	7 12 21 26 37
2015-04-14	6	3rd	1 5 21 34 38
2015-04-08	1	4th	4 10 16 21 24
2015-04-07	10	3rd	13 18 21 24 30
2015-03-28	3	3rd	19 20 21 33 35
2015-03-25	1	2nd	16 21 28 30 35
2015-03-24	7	3rd	2 20 21 24 29
2015-03-17	14	5th	1 7 11 18 21
2015-03-03	2	4th	1 7 16 21 35
2015-03-01	1	3rd	14 17 21 23 32
2015-02-28	11	4th	7 10 14 21 38
2015-02-17	2	3rd	13 18 21 25 34
2015-02-15	3	3rd	1 15 21 29 31
2015-02-12	6	4th	3 4 8 21 25
2015-02-06	6	3rd	1 12 21 23 27
2015-01-31	14	1st	21 23 28 35 36
2015-01-17	9	4th	6 11 12 21 22
2015-01-08	2	3rd	14 19 21 27 38
2015-01-06	1	5th	4 6 8 20 21
2015-01-05	13	5th	4 5 6 16 21
2014-12-23	2	4th	7 8 9 21 32
2014-12-21	5	2nd	14 21 29 30 38
2014-12-16	1	2nd	2 21 26 35 36
2014-12-15	5	3rd	4 17 21 24 34
2014-12-10	2	3rd	6 14 21 29 30
2014-12-08	14	4th	9 10 16 21 28
2014-11-24	5	3rd	18 19 21 25 30
2014-11-19	5	3rd	8 18 21 37 39
2014-11-14	23	3rd	3 9 21 31 39
2014-10-22	2	4th	9 11 16 21 30
2014-10-20	7	3rd	6 12 21 31 35
2014-10-13	29	2nd	8 21 26 29 36
2014-09-14	5	2nd	12 21 24 34 39
2014-09-09	2	3rd	9 15 21 25 30
2014-09-07	5	2nd	20 21 26 27 35
2014-09-02	11	3rd	5 17 21 28 39
2014-08-22	1	2nd	1 21 24 32 33
2014-08-21	5	3rd	15 20 21 30 36
2014-08-16	12	3rd	16 18 21 25 35
2014-08-04	11	3rd	6 7 21 22 35
2014-07-24	5	5th	10 16 18 19 21
2014-07-19	15	2nd	16 21 27 29 37
2014-07-04	2	5th	6 13 18 20 21
2014-07-02	11	3rd	13 17 21 23 31
2014-06-21	6	1st	21 24 27 28 35
2014-06-15	5	5th	1 6 10 11 21
2014-06-10	7	3rd	12 16 21 26 31
2014-06-03	11	4th	1 10 17 21 33
2014-05-23	8	4th	4 16 19 21 38
2014-05-15	11	2nd	5 21 30 36 38
2014-05-04	1	5th	2 6 10 18 21
2014-05-03	3	3rd	6 12 21 29 34
2014-04-30	2	3rd	11 14 21 25 33
2014-04-28	3	3rd	9 10 21 26 38
2014-04-25	1	4th	6 13 17 21 28
2014-04-24	3	2nd	15 21 25 35 36
2014-04-21	14	3rd	4 16 21 25 36
2014-04-07	3	4th	9 12 17 21 28
2014-04-04	24	4th	1 11 15 21 27
2014-03-11	7	4th	1 12 15 21 29
2014-03-04	14	5th	1 5 12 18 21
2014-02-18	13	3rd	1 12 21 23 33
2014-02-05	2	4th	3 4 14 21 27
2014-02-03	1	4th	1 2 19 21 28
2014-02-02	4	2nd	8 21 22 33 34
2014-01-29	3	3rd	6 13 21 25 26
2014-01-26	25	1st	21 25 28 33 38
2014-01-01	6	2nd	9 21 29 33 36
2013-12-26	1	3rd	7 13 21 28 30
2013-12-25	12	4th	2 7 8 21 34
2013-12-13	18	3rd	10 17 21 25 30
2013-11-25	8	2nd	17 21 26 27 30
2013-11-17	12	3rd	2 18 21 28 37
2013-11-05	10	4th	4 13 20 21 32
2013-10-26	10	4th	4 12 16 21 22
2013-10-16	21	3rd	8 13 21 32 35
2013-09-25	2	4th	5 9 20 21 29
2013-09-23	5	4th	11 14 16 21 28
2013-09-18	7	2nd	1 21 28 29 30
2013-09-11	10	2nd	4 21 30 32 35
2013-09-01	6	3rd	5 20 21 30 32
2013-08-26	9	3rd	10 16 21 26 31
2013-08-17	20	2nd	19 21 25 27 33
2013-07-28	10	3rd	6 14 21 27 33
2013-07-18	3	4th	13 16 20 21 26
2013-07-15	18	3rd	10 14 21 22 30
2013-06-27	4	4th	3 12 14 21 39
2013-06-23	1	5th	2 7 18 20 21
2013-06-22	18	4th	10 13 16 21 26
2013-06-04	3	3rd	4 17 21 22 31
2013-06-01	7	3rd	17 18 21 26 33
2013-05-25	1	2nd	9 21 22 26 32
2013-05-24	6	3rd	9 17 21 23 31
2013-05-18	5	2nd	20 21 25 31 39
2013-05-13	5	3rd	16 19 21 25 33
2013-05-08	15	4th	2 3 14 21 33
2013-04-23	25	4th	2 9 10 21 22
2013-03-29	2	2nd	1 21 24 30 32
2013-03-27	2	1st	21 23 25 29 33
2013-03-25	6	2nd	8 21 25 32 36
2013-03-19	19	3rd	10 13 21 30 31
2013-02-28	26	4th	6 15 18 21 33
2013-02-02	11	4th	5 9 18 21 26
2013-01-22	23	4th	3 15 17 21 29
2012-12-30	14	5th	4 8 11 13 21
2012-12-16	1	4th	7 9 11 21 32
2012-12-15	4	4th	3 11 20 21 26
2012-12-11	12	3rd	8 20 21 22 34
2012-11-29	19	3rd	5 20 21 26 28
2012-11-10	2	3rd	2 5 21 27 39
2012-11-08	8	1st	21 22 29 33 34
2012-10-31	14	4th	9 11 18 21 36
2012-10-17	14	4th	3 11 19 21 33
2012-10-03	16	4th	2 5 8 21 38
2012-09-17	4	5th	2 3 5 9 21
2012-09-13	12	3rd	4 14 21 30 32
2012-09-01	20	3rd	1 13 21 30 32
2012-08-12	1	3rd	13 18 21 22 23
2012-08-11	19	3rd	19 20 21 35 38
2012-07-23	10	3rd	3 18 21 30 31
2012-07-13	2	4th	10 13 16 21 30
2012-07-11	11	3rd	4 5 21 27 39
2012-06-30	6	4th	3 10 12 21 22
2012-06-24	4	4th	10 18 19 21 23
2012-06-20	8	4th	4 13 20 21 31
2012-06-12	56	3rd	3 18 21 37 39
2012-04-17	1	3rd	8 9 21 25 34
2012-04-16	9	3rd	6 7 21 22 38
2012-04-07	7	4th	4 10 15 21 37
2012-03-31	25	3rd	19 20 21 28 31
2012-03-06	20	2nd	18 21 26 36 39
2012-02-15	9	4th	1 5 7 21 37
2012-02-06	1	3rd	14 16 21 22 31
2012-02-05	5	3rd	4 14 21 22 28
2012-01-31	10	3rd	8 10 21 35 38
2012-01-21	20	3rd	2 20 21 29 33
2012-01-01	4	4th	6 15 18 21 33
2011-12-28	2	4th	13 14 15 21 29
2011-12-26	7	3rd	8 12 21 25 26
2011-12-19	9	3rd	11 17 21 24 33
2011-12-10	1	4th	5 6 15 21 31
2011-12-09	3	4th	4 6 11 21 30
2011-12-06	6	3rd	14 20 21 26 28
2011-11-30	22	4th	11 14 19 21 23
2011-11-08	15	2nd	8 21 27 31 37
2011-10-24	5	3rd	6 13 21 33 34
2011-10-19	4	4th	7 10 17 21 32
2011-10-15	6	1st	21 24 25 29 33
2011-10-09	7	3rd	5 19 21 24 27
2011-10-02	1	3rd	4 9 21 25 30
2011-10-01	4	4th	1 10 14 21 30
2011-09-27	14	3rd	10 14 21 30 35
2011-09-13	53	2nd	2 21 35 36 39
2011-07-19	7	4th	7 11 16 21 23
2011-07-12	3	4th	1 3 7 21 30
2011-07-09	5	3rd	18 19 21 27 34
2011-07-04	15	4th	1 7 11 21 32
2011-06-19	5	4th	17 18 20 21 31
2011-06-14	11	3rd	15 17 21 30 31
2011-06-03	7	4th	8 10 19 21 36
2011-05-27	1	4th	5 10 17 21 36
2011-05-26	9	4th	1 3 20 21 36
2011-05-17	10	4th	5 8 9 21 35
2011-05-07	9	3rd	10 14 21 33 38
2011-04-28	5	2nd	19 21 23 26 37
2011-04-23	4	4th	5 6 15 21 38
2011-04-19	16	2nd	20 21 29 34 36
2011-04-02	11	3rd	5 8 21 23 33
2011-03-22	12	5th	1 4 5 8 21
2011-03-10	1	2nd	5 21 27 28 39
2011-03-09	12	4th	2 4 14 21 37
2011-02-25	6	4th	4 10 20 21 27
2011-02-19	4	3rd	18 19 21 29 38
2011-02-15	3	2nd	15 21 29 31 32
2011-02-12	6	3rd	3 14 21 28 29
2011-02-06	8	3rd	1 12 21 26 27
2011-01-29	11	2nd	12 21 28 29 34
2011-01-18	2	4th	2 16 18 21 30
2011-01-16	8	2nd	10 21 22 30 39
2011-01-08	12	3rd	8 12 21 29 30
2010-12-27	2	4th	2 5 8 21 27
2010-12-25	3	3rd	1 2 21 29 37
2010-12-22	16	2nd	19 21 29 30 35
2010-12-06	2	3rd	7 20 21 31 38
2010-12-04	13	3rd	13 16 21 25 35
2010-11-21	7	4th	1 6 13 21 28
2010-11-14	4	3rd	1 7 21 24 31
2010-11-10	21	5th	13 14 16 17 21
2010-10-20	6	3rd	7 12 21 28 39
2010-10-14	5	2nd	19 21 29 36 39
2010-10-09	7	1st	21 29 30 36 37
2010-10-02	3	2nd	12 21 28 30 35
2010-09-29	29	3rd	13 14 21 28 39
2010-08-31	2	5th	3 4 10 15 21
2010-08-29	4	3rd	9 13 21 30 37
2010-08-25	6	2nd	3 21 23 24 34
2010-08-19	1	3rd	3 14 21 29 30
2010-08-18	2	1st	21 32 33 37 39
2010-08-16	18	3rd	5 7 21 27 37
2010-07-29	16	3rd	4 14 21 32 39
2010-07-13	10	4th	1 10 13 21 31
2010-07-03	16	3rd	3 15 21 27 28
2010-06-17	3	2nd	7 21 22 28 34
2010-06-14	6	2nd	20 21 22 31 36
2010-06-08	3	2nd	12 21 22 27 38
2010-06-05	18	3rd	1 10 21 24 36
2010-05-18	5	4th	6 9 15 21 28
2010-05-13	3	3rd	2 8 21 23 33
2010-05-10	3	3rd	6 18 21 27 34
2010-05-07	10	3rd	3 9 21 24 34
2010-04-27	2	2nd	3 21 23 25 32
2010-04-25	13	3rd	5 19 21 31 35
2010-04-12	5	4th	4 15 19 21 39
2010-04-07	3	2nd	11 21 26 28 39
2010-04-04	32	4th	11 19 20 21 36
2010-03-03	2	2nd	8 21 26 36 39
2010-03-01	27	4th	9 11 12 21 26
2010-02-02	2	5th	7 10 18 19 21
2010-01-31	11	3rd	16 18 21 24 31
2010-01-20	5	3rd	10 11 21 30 32
2010-01-15	5	4th	3 9 11 21 34
2010-01-10	3	2nd	6 21 25 26 35
2010-01-07	2	3rd	19 20 21 22 23
2010-01-05	3	3rd	14 19 21 35 37
2010-01-02	—	3rd	11 19 21 27 30