Number 31

In Hit 5 under the 5/39 · Jan 2010 – Sep 2020 rules — 1,676 draws, 5 from 1–39 (an earlier era).

212times drawn · chance expected 215 −0.21σ

3draws waiting · a wait this long: 76% for any number

7.9average wait between appearances · chance says 7.8

34longest completed wait · 90% chance of one at least that long

31 is drawn as often as chance explains

Drawn 212 times in 1,676 draws against 214.9 expected, −0.21σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 212 times in 1,676 draws · average wait 7.9 draws · longest completed wait 34 · waiting 3 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 0.2
2nd smallest8 · chance 4.8
3rd smallest45 · chance 35.0
4th smallest80 · chance 93.3
5th smallest79 · chance 78.7

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 22.3 shared draws, and the leaders are simply the ones that came out ahead this time.

37 14 20 32 5 10

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, 31 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 31 →

Every draw it appeared in

Date	Wait	Position	The draw
2020-09-02	26	5th	7 11 14 28 31
2020-07-08	2	5th	11 23 28 30 31
2020-07-04	4	5th	2 9 17 21 31
2020-06-24	2	4th	2 18 21

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 5/39 tonight whatever it did last week.

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