Number 31

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

166times drawn · chance expected 162 +0.38σ

7draws waiting · a wait this long: 38% for any number

6.5average wait between appearances · chance says 6.7

28longest completed wait · 87% chance of one at least that long

31 is drawn as often as chance explains

Drawn 166 times in 1,077 draws against 161.5 expected, +0.38σ. Each draw is independent: after 7 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 166 times in 1,077 draws · average wait 6.5 draws · longest completed wait 28 · waiting 7 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 31 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 smallest0 · chance 0.0
2nd smallest1 · chance 1.1
3rd smallest10 · chance 10.5
4th smallest47 · chance 42.1
5th smallest67 · chance 71.1
6th smallest41 · chance 41.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 21.3 shared draws, and the leaders are simply the ones that came out ahead this time.

32 23 28 9 14 1

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, 31 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 31 →

Every draw it appeared in

Date	Wait	Position	The draw
2020-07-15	7	5th	5 10 11 21 31 32
2020-06-20	13	5th	21 23 26 27 31 36
2020-05-06	11	4th	2 14 29 31 35 37
2020-03-28

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: 31 is drawn with probability 6/40 tonight whatever it did last week.

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