Number 21

In UK Lotto under the 6/49 + 1/49 · Nov 1994 – Oct 2015 rules — 2,065 draws, 6 from 1–49 (an earlier era).

228times drawn · chance expected 253 −1.67σ

4draws waiting · a wait this long: 68% for any number

9.1average wait between appearances · chance says 8.2

47longest completed wait · 43% chance of one at least that long

21 is drawn as often as chance explains

Drawn 228 times in 2,065 draws against 252.9 expected, −1.67σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 47 times, counted separately.

Number 21, draw by draw

Drawn 228 times in 2,065 draws · average wait 9.1 draws · longest completed wait 47 · waiting 4 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 small number the low positions more often. That is the shape of sorting, not of the machine.

1st smallest9 · chance 13.1
2nd smallest60 · chance 54.5
3rd smallest83 · chance 82.9
4th smallest55 · chance 57.4
5th smallest21 · chance 18.1
6th smallest0 · chance 2.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 23.8 shared draws, and the leaders are simply the ones that came out ahead this time.

25 6 2 8 23 38

It has shared a draw with every one of the other 48 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 49. 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
2015-09-23	2	3rd	9 17 21 23 35 36
2015-09-16	2	3rd	12 14 21 22 37 43
2015-09-09	7	4th	6 18 20 21 29 31
2015-08-15	5	4th

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 6/49 tonight whatever it did last week.

2013-11-16	8	3rd	3 19 21 30 41 47
2013-10-19	2	4th	3 12 19 21 29 31
2013-10-12	3	3rd	5 12 21 26 33 45
2013-10-02	9	3rd	16 17 21 27 30 37
2013-08-31	42	5th	4 14 15 17 21 31
2013-04-06	1	2nd	11 21 22 41 47 48
2013-04-03	6	3rd	5 11 21 32 42 48
2013-03-13	11	3rd	6 8 21 23 41 46
2013-02-02	2	5th	2 12 13 14 21 30
2013-01-26	5	3rd	2 6 21 29 34 47
2013-01-09	1	2nd	5 21 24 25 39 48
2013-01-05	1	4th	10 15 17 21 37 47
2013-01-02	13	4th	7 9 20 21 30 37
2012-11-17	9	4th	17 19 20 21 25 26
2012-10-17	10	4th	4 7 19 21 39 49
2012-09-12	1	3rd	14 16 21 22 24 41
2012-09-08	6	3rd	8 15 21 26 28 32
2012-08-18	4	1st	21 27 38 42 44 46
2012-08-04	14	4th	8 10 15 21 23 45
2012-06-16	9	3rd	3 19 21 37 40 49
2012-05-16	1	3rd	5 6 21 41 48 49
2012-05-12	5	4th	1 5 18 21 23 33
2012-04-25	10	4th	8 13 18 21 40 44
2012-03-21	14	3rd	10 14 21 25 39 45
2012-02-01	15	3rd	7 17 21 22 38 39
2011-12-10	44	2nd	16 21 24 29 30 39
2011-07-09	3	3rd	1 2 21 24 33 49
2011-06-29	7	4th	5 6 13 21 31 47
2011-06-04	9	2nd	7 21 25 32 43 44
2011-05-04	7	5th	2 3 7 17 21 32
2011-04-09	3	4th	6 8 17 21 39 47
2011-03-30	1	4th	10 16 17 21 39 41
2011-03-26	9	4th	2 9 16 21 31 44
2011-02-23	11	4th	1 8 15 21 31 39
2011-01-15	8	3rd	7 8 21 24 33 34
2010-12-18	5	2nd	9 21 35 38 46 49
2010-12-01	8	2nd	20 21 22 24 27 34
2010-11-03	10	2nd	13 21 28 37 39 45
2010-09-29	5	1st	21 25 29 32 38 44
2010-09-11	3	3rd	4 20 21 35 39 40
2010-09-01	6	3rd	7 20 21 27 28 41
2010-08-11	35	2nd	4 21 25 27 31 34
2010-04-10	19	4th	6 9 11 21 40 48
2010-02-03	6	5th	3 11 12 20 21 28
2010-01-13	19	5th	6 8 14 16 21 43
2009-11-07	10	2nd	19 21 39 44 45 49
2009-10-03	15	2nd	14 21 23 32 36 46
2009-08-12	10	3rd	9 20 21 27 39 40
2009-07-08	4	3rd	10 16 21 22 35 49
2009-06-24	4	4th	10 17 20 21 23 31
2009-06-10	14	3rd	3 8 21 23 30 46
2009-04-22	4	2nd	11 21 34 42 43 45
2009-04-08	8	3rd	8 10 21 23 25 48
2009-03-11	1	4th	6 9 20 21 31 34
2009-03-07	1	2nd	6 21 30 32 33 44
2009-03-04	26	2nd	3 21 25 32 37 46
2008-12-03	15	4th	4 12 19 21 34 44
2008-10-11	4	2nd	20 21 23 24 27 28
2008-09-27	1	2nd	11 21 27 38 40 44
2008-09-24	3	3rd	1 14 21 24 35 46
2008-09-13	47	2nd	5 21 28 29 40 44
2008-04-02	4	3rd	2 6 21 23 43 47
2008-03-19	9	2nd	5 21 22 25 27 35
2008-02-16	16	3rd	9 18 21 24 37 48
2007-12-22	1	5th	11 13 14 16 21 44
2007-12-19	10	3rd	11 13 21 33 36 47
2007-11-14	17	3rd	4 5 21 35 37 42
2007-09-15	1	4th	3 7 12 21 25 36
2007-09-12	14	4th	4 13 18 21 30 46
2007-07-25	1	3rd	3 18 21 24 36 38
2007-07-21	13	3rd	3 10 21 25 29 49
2007-06-06	13	2nd	7 21 22 28 37 40
2007-04-21	3	3rd	14 20 21 30 41 46
2007-04-11	8	3rd	8 11 21 32 35 42
2007-03-14	12	2nd	6 21 24 38 39 48
2007-01-31	1	3rd	13 14 21 30 43 49
2007-01-27	3	3rd	4 15 21 23 24 38
2007-01-17	8	3rd	12 17 21 25 31 37
2006-12-20	26	3rd	4 10 21 22 25 38
2006-09-20	3	2nd	3 21 29 35 38 45
2006-09-09	3	3rd	2 15 21 37 43 46
2006-08-30	2	2nd	19 21 22 38 44 49
2006-08-23	7	4th	6 16 20 21 23 37
2006-07-29	3	5th	4 5 16 19 21 49
2006-07-19	7	2nd	4 21 25 37 45 46
2006-06-24	12	3rd	9 14 21 23 39 44
2006-05-13	2	3rd	3 15 21 22 36 47
2006-05-06	10	4th	2 7 11 21 33 34
2006-04-01	5	4th	9 17 18 21 23 39
2006-03-15	23	3rd	1 14 21 30 35 48
2005-12-24	2	2nd	17 21 25 27 30 37
2005-12-17	12	4th	7 11 15 21 35 47
2005-11-05	5	3rd	12 13 21 26 32 39
2005-10-19	6	4th	7 18 20 21 29 47
2005-09-28	3	1st	21 32 41 42 43 46
2005-09-17	5	2nd	9 21 23 31 40 46
2005-08-31	13	4th	4 10 14 21 32 49
2005-07-16	12	3rd	2 3 21 24 38 44
2005-06-04	2	5th	6 8 13 15 21 40
2005-05-28	6	3rd	10 16 21 24 34 46
2005-05-07	12	3rd	2 6 21 34 35 49
2005-03-26	3	2nd	5 21 23 28 40 48
2005-03-16	2	4th	3 7 9 21 35 39
2005-03-09	38	2nd	14 21 25 39 40 47
2004-10-27	12	3rd	9 11 21 39 40 46
2004-09-15	14	4th	3 11 17 21 33 44
2004-07-28	7	4th	10 11 14 21 25 42
2004-07-03	2	3rd	6 8 21 25 43 47
2004-06-26	1	2nd	16 21 24 28 31 33
2004-06-23	19	3rd	5 18 21 24 38 48
2004-04-17	6	2nd	3 21 31 42 47 48
2004-03-27	2	2nd	19 21 25 33 37 41
2004-03-20	7	2nd	13 21 37 42 46 48
2004-02-25	2	2nd	6 21 28 34 38 41
2004-02-18	9	5th	1 3 5 13 21 24
2004-01-17	1	3rd	4 8 21 24 39 44
2004-01-14	8	4th	2 5 19 21 40 46
2003-12-17	2	4th	4 6 13 21 36 46
2003-12-10	8	3rd	8 14 21 26 37 48
2003-11-12	5	5th	6 9 13 17 21 24
2003-10-25	11	4th	4 10 18 21 43 49
2003-09-17	3	5th	3 9 15 16 21 29
2003-09-06	16	2nd	1 21 25 27 39 42
2003-07-12	15	5th	9 12 13 15 21 33
2003-05-21	7	3rd	18 19 21 32 35 39
2003-04-26	7	2nd	9 21 27 33 35 48
2003-04-02	1	4th	8 11 15 21 37 39
2003-03-29	29	3rd	5 15 21 33 35 42
2002-12-18	1	3rd	11 17 21 22 40 42
2002-12-14	11	2nd	11 21 38 39 45 47
2002-11-06	2	4th	2 6 8 21 41 42
2002-10-30	8	2nd	10 21 26 31 48 49
2002-10-02	2	5th	2 3 14 15 21 48
2002-09-25	5	2nd	6 21 29 32 33 47
2002-09-07	13	2nd	7 21 29 31 38 41
2002-07-24	3	3rd	7 13 21 34 35 43
2002-07-13	7	2nd	15 21 23 24 31 32
2002-06-19	9	2nd	18 21 32 36 39 41
2002-05-18	7	1st	21 22 30 31 38 48
2002-04-24	1	5th	3 13 17 20 21 30
2002-04-20	12	3rd	7 14 21 32 43 44
2002-03-09	5	4th	9 18 20 21 39 48
2002-02-20	33	2nd	17 21 24 25 46 49
2001-10-27	2	2nd	2 21 23 24 27 38
2001-10-20	9	5th	1 3 6 19 21 26
2001-09-19	2	3rd	6 8 21 25 30 45
2001-09-12	8	2nd	11 21 25 27 30 35
2001-08-15	45	4th	4 6 18 21 35 38
2001-03-10	24	4th	2 4 12 21 36 37
2000-12-16	8	2nd	17 21 26 29 34 39
2000-11-18	22	4th	6 9 11 21 27 43
2000-09-02	1	3rd	11 12 21 31 36 40
2000-08-30	14	2nd	13 21 24 38 40 41
2000-07-12	1	3rd	4 12 21 27 41 49
2000-07-08	12	1st	21 30 35 38 41 46
2000-05-27	1	1st	21 23 33 34 43 45
2000-05-24	1	3rd	6 8 21 36 38 46
2000-05-20	1	4th	7 11 18 21 25 44
2000-05-17	29	5th	1 10 11 15 21 48
2000-02-05	2	1st	21 38 40 46 47 49
2000-01-29	1	4th	5 7 17 21 27 48
2000-01-26	9	3rd	6 14 21 28 41 43
1999-12-24	12	2nd	2 21 23 24 25 35
1999-11-13	11	3rd	7 10 21 28 29 39
1999-10-06	4	4th	9 13 19 21 30 45
1999-09-22	3	3rd	6 16 21 28 37 44
1999-09-11	17	4th	2 4 16 21 29 46
1999-07-14	8	3rd	1 15 21 37 41 42
1999-06-16	1	2nd	17 21 25 37 38 45
1999-06-12	23	3rd	3 18 21 23 36 49
1999-03-24	12	2nd	13 21 27 32 45 48
1999-02-10	4	3rd	2 20 21 33 35 49
1999-01-27	6	5th	2 3 6 20 21 22
1999-01-06	25	4th	2 11 18 21 23 47
1998-10-10	17	3rd	11 13 21 26 43 46
1998-08-12	1	2nd	12 21 23 25 44 49
1998-08-08	9	4th	2 5 17 21 45 47
1998-07-08	38	3rd	12 13 21 23 33 36
1998-02-25	16	2nd	9 21 27 36 42 48
1997-12-31	1	4th	8 13 18 21 23 29
1997-12-27	6	2nd	14 21 28 31 40 46
1997-12-06	2	4th	5 9 19 21 30 49
1997-11-29	10	3rd	2 8 21 29 46 47
1997-10-25	8	2nd	10 21 27 38 40 44
1997-09-27	3	2nd	15 21 29 32 33 40
1997-09-17	16	3rd	7 20 21 22 40 44
1997-07-23	13	3rd	4 11 21 27 28 34
1997-06-07	1	3rd	12 14 21 25 30 40
1997-06-04	3	3rd	18 19 21 30 34 44
1997-05-24	1	2nd	3 21 23 25 26 33
1997-05-21	2	3rd	5 8 21 38 39 49
1997-05-14	25	4th	2 8 16 21 29 37
1997-02-15	6	3rd	7 14 21 34 38 47
1997-01-18	25	2nd	3 21 22 26 31 48
1996-07-27	28	4th	2 13 19 21 32 45
1996-01-13	12	1st	21 29 31 32 34 48
1995-10-21	8	5th	2 6 17 19 21 47
1995-08-26	5	3rd	16 18 21 27 38 41
1995-07-22	4	3rd	2 3 21 22 23 40
1995-06-24	3	3rd	5 15 21 42 43 45
1995-06-03	15	2nd	1 21 29 31 32 40
1995-02-18	6	3rd	16 19 21 29 36 45
1995-01-07	5	3rd	2 5 21 22 25 32
1994-12-03	—	3rd	11 17 21 29 30 40