Number 31

In Bonus Match 5 under the 5/39 · Apr 2010 – Nov 2016 rules — 2,407 draws, 5 from 1–39 (an earlier era).

295times drawn · chance expected 309 −0.83σ

7draws waiting · a wait this long: 44% for any number

8.1average wait between appearances · chance says 7.8

80longest completed wait · 0.6% chance of one at least that long

31 is drawn as often as chance explains

Drawn 295 times in 2,407 draws against 308.6 expected, −0.83σ. 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 295 times in 2,407 draws · average wait 8.1 draws · longest completed wait 80 · 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 0.3
2nd smallest8 · chance 6.7
3rd smallest57 · chance 48.7
4th smallest137 · chance 129.8
5th smallest93 · chance 109.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 31.1 shared draws, and the leaders are simply the ones that came out ahead this time.

38 11 33 14 23 30

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
2016-11-08	8	3rd	20 29 31 38 39
2016-10-31	11	5th	5 11 23 28 31
2016-10-20	14	4th	9 14 23 31 35
2016-10-06	6	3rd	4 13

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.

2016-05-17	8	5th	2 10 23 30 31
2016-05-09	9	5th	2 7 26 27 31
2016-04-30	10	5th	5 7 11 24 31
2016-04-20	10	5th	12 15 23 26 31
2016-04-10	2	4th	4 10 20 31 39
2016-04-08	3	4th	20 23 30 31 33
2016-04-05	1	4th	1 5 27 31 33
2016-04-04	2	4th	4 10 14 31 39
2016-04-02	5	4th	17 20 27 31 32
2016-03-28	6	4th	2 7 21 31 36
2016-03-22	2	5th	8 15 18 25 31
2016-03-20	8	3rd	22 28 31 37 38
2016-03-12	4	5th	9 14 20 24 31
2016-03-08	2	4th	21 24 28 31 34
2016-03-06	12	5th	7 11 18 24 31
2016-02-23	16	4th	1 4 12 31 37
2016-02-07	11	5th	1 8 9 18 31
2016-01-27	10	4th	1 14 17 31 36
2016-01-17	5	4th	16 23 27 31 36
2016-01-12	18	2nd	19 31 32 33 38
2015-12-25	11	4th	2 12 30 31 36
2015-12-14	9	5th	2 10 12 29 31
2015-12-05	36	4th	17 29 30 31 33
2015-10-30	19	4th	6 10 21 31 32
2015-10-11	11	5th	12 17 22 24 31
2015-09-30	1	3rd	22 29 31 33 34
2015-09-29	3	4th	9 22 23 31 38
2015-09-26	8	3rd	4 30 31 37 38
2015-09-18	3	4th	2 9 20 31 39
2015-09-15	1	4th	1 5 25 31 34
2015-09-14	1	3rd	21 29 31 33 38
2015-09-13	2	4th	1 2 21 31 39
2015-09-11	9	4th	3 6 16 31 38
2015-09-02	7	5th	2 5 18 30 31
2015-08-26	4	5th	19 23 25 29 31
2015-08-22	4	3rd	13 26 31 35 38
2015-08-18	9	4th	4 14 21 31 32
2015-08-09	24	4th	6 13 25 31 32
2015-07-16	1	3rd	3 14 31 33 34
2015-07-15	1	5th	3 8 11 27 31
2015-07-14	3	4th	12 22 26 31 32
2015-07-11	7	3rd	8 18 31 33 38
2015-07-04	1	5th	1 5 12 19 31
2015-07-03	11	4th	5 10 16 31 38
2015-06-22	14	5th	7 11 19 27 31
2015-06-08	4	5th	8 13 19 21 31
2015-06-04	5	3rd	6 14 31 33 39
2015-05-30	3	4th	4 5 20 31 36
2015-05-27	15	4th	15 19 24 31 33
2015-05-12	1	5th	3 9 19 30 31
2015-05-11	14	4th	9 19 28 31 33
2015-04-26	1	4th	2 11 24 31 33
2015-04-25	7	4th	5 6 11 31 35
2015-04-18	1	5th	12 16 18 22 31
2015-04-17	2	4th	6 12 29 31 35
2015-04-15	1	4th	9 12 23 31 39
2015-04-14	5	5th	11 19 21 24 31
2015-04-09	1	4th	14 26 28 31 39
2015-04-08	7	3rd	25 28 31 36 37
2015-04-01	2	4th	5 6 22 31 38
2015-03-30	2	4th	6 11 15 31 36
2015-03-28	80	4th	13 16 24 31 38
2015-01-07	30	3rd	9 17 31 38 39
2014-12-08	31	4th	5 12 15 31 37
2014-11-07	2	3rd	2 17 31 32 34
2014-11-05	1	4th	2 4 5 31 34
2014-11-04	14	4th	18 27 30 31 38
2014-10-21	2	4th	7 8 10 31 33
2014-10-19	29	5th	8 16 22 28 31
2014-09-20	16	5th	6 7 12 28 31
2014-09-04	15	4th	9 25 28 31 37
2014-08-20	2	4th	1 3 6 31 32
2014-08-18	22	5th	2 17 19 27 31
2014-07-27	2	3rd	16 28 31 36 38
2014-07-25	2	4th	3 5 27 31 32
2014-07-23	5	4th	1 11 30 31 36
2014-07-18	3	4th	15 24 25 31 39
2014-07-15	4	5th	12 17 19 25 31
2014-07-11	11	5th	6 7 14 22 31
2014-06-29	10	3rd	8 22 31 38 39
2014-06-19	12	3rd	5 13 31 37 39
2014-06-07	7	4th	16 20 29 31 34
2014-05-31	5	5th	3 12 25 26 31
2014-05-26	4	4th	3 10 22 31 38
2014-05-22	1	4th	2 6 18 31 36
2014-05-21	2	4th	7 23 24 31 37
2014-05-19	9	3rd	8 20 31 36 39
2014-05-10	15	4th	2 10 16 31 36
2014-04-25	2	5th	8 9 11 13 31
2014-04-23	6	4th	2 4 7 31 36
2014-04-17	11	3rd	13 14 31 33 34
2014-04-06	6	4th	4 19 29 31 36
2014-03-31	9	3rd	12 21 31 32 36
2014-03-22	18	4th	9 15 22 31 39
2014-03-04	11	5th	11 13 15 20 31
2014-02-21	1	2nd	17 31 34 36 38
2014-02-20	3	5th	14 17 18 19 31
2014-02-17	15	4th	6 22 24 31 33
2014-02-02	11	4th	17 25 26 31 37
2014-01-22	3	5th	1 4 6 11 31
2014-01-19	8	4th	13 14 19 31 37
2014-01-11	4	3rd	18 21 31 33 34
2014-01-07	6	4th	5 21 30 31 35
2014-01-01	22	5th	8 16 23 26 31
2013-12-10	1	4th	2 4 24 31 39
2013-12-09	4	4th	11 28 30 31 33
2013-12-05	14	4th	11 22 29 31 38
2013-11-21	10	4th	17 18 20 31 39
2013-11-11	2	3rd	7 23 31 36 38
2013-11-09	1	4th	9 14 24 31 37
2013-11-08	9	5th	7 21 23 25 31
2013-10-30	4	2nd	2 31 33 35 37
2013-10-26	11	4th	6 16 22 31 32
2013-10-15	3	5th	4 18 21 30 31
2013-10-12	1	3rd	10 14 31 33 38
2013-10-11	14	5th	8 11 16 25 31
2013-09-27	8	4th	6 7 13 31 33
2013-09-19	5	4th	5 11 16 31 32
2013-09-14	2	5th	16 18 22 29 31
2013-09-12	6	5th	1 4 8 27 31
2013-09-06	3	5th	7 13 21 23 31
2013-09-03	4	4th	11 21 23 31 38
2013-08-30	4	5th	9 14 22 30 31
2013-08-26	4	4th	8 25 29 31 39
2013-08-22	4	4th	5 8 17 31 32
2013-08-18	5	4th	19 22 26 31 35
2013-08-13	13	5th	2 13 16 17 31
2013-07-31	15	2nd	15 31 35 36 39
2013-07-16	6	5th	5 10 11 26 31
2013-07-10	1	4th	17 24 29 31 39
2013-07-09	1	2nd	20 31 33 37 39
2013-07-08	1	4th	13 17 26 31 32
2013-07-07	4	4th	4 9 15 31 35
2013-07-03	10	5th	6 14 16 28 31
2013-06-23	16	5th	9 11 21 28 31
2013-06-07	5	4th	5 17 22 31 38
2013-06-02	7	3rd	14 22 31 33 38
2013-05-26	6	5th	6 14 21 23 31
2013-05-20	2	4th	5 9 25 31 33
2013-05-18	1	3rd	9 24 31 36 37
2013-05-17	8	4th	3 19 23 31 36
2013-05-09	12	4th	1 2 8 31 33
2013-04-27	11	4th	2 11 18 31 38
2013-04-16	13	5th	5 15 16 19 31
2013-04-03	4	4th	1 7 10 31 37
2013-03-30	4	3rd	17 22 31 33 35
2013-03-26	21	5th	4 17 22 25 31
2013-03-05	4	3rd	13 27 31 37 39
2013-03-01	6	2nd	21 31 35 38 39
2013-02-23	3	5th	15 17 20 27 31
2013-02-20	5	4th	12 20 29 31 34
2013-02-15	18	4th	5 18 19 31 35
2013-01-28	16	3rd	19 28 31 33 35
2013-01-12	2	3rd	25 27 31 33 37
2013-01-10	11	5th	14 19 20 27 31
2012-12-30	3	3rd	12 22 31 32 35
2012-12-27	15	5th	5 8 18 29 31
2012-12-12	14	4th	20 22 24 31 33
2012-11-28	8	3rd	8 27 31 34 35
2012-11-20	27	5th	6 8 17 23 31
2012-10-24	10	5th	3 4 6 13 31
2012-10-14	38	5th	2 24 25 28 31
2012-09-06	2	4th	16 18 25 31 34
2012-09-04	11	4th	3 5 10 31 38
2012-08-24	12	3rd	12 30 31 35 38
2012-08-12	2	5th	2 3 16 30 31
2012-08-10	5	3rd	23 25 31 37 38
2012-08-05	4	4th	12 16 21 31 38
2012-08-01	3	4th	2 8 18 31 38
2012-07-29	4	3rd	5 20 31 34 38
2012-07-25	2	4th	8 28 29 31 36
2012-07-23	1	5th	1 7 27 29 31
2012-07-22	10	4th	10 25 27 31 36
2012-07-12	5	4th	3 7 13 31 32
2012-07-07	9	4th	4 10 15 31 39
2012-06-27	1	5th	8 15 16 23 31
2012-06-26	6	5th	3 7 16 20 31
2012-06-20	3	5th	9 14 20 26 31
2012-06-17	15	3rd	15 18 31 34 35
2012-06-02	15	5th	8 10 22 30 31
2012-05-18	2	4th	6 11 15 31 37
2012-05-16	15	4th	19 20 26 31 36
2012-04-29	5	4th	4 19 23 31 39
2012-04-24	20	4th	5 10 24 31 34
2012-04-04	1	4th	14 22 28 31 36
2012-04-03	10	3rd	16 28 31 37 38
2012-03-24	6	4th	9 24 26 31 34
2012-03-18	7	4th	2 13 14 31 34
2012-03-11	14	5th	1 8 10 24 31
2012-02-26	25	4th	27 28 30 31 36
2012-02-01	56	4th	6 13 23 31 38
2011-12-07	2	4th	5 8 12 31 36
2011-12-05	3	4th	10 14 25 31 33
2011-12-02	15	5th	18 19 20 30 31
2011-11-17	23	4th	17 26 28 31 35
2011-10-25	3	4th	13 17 27 31 32
2011-10-22	17	5th	10 11 12 15 31
2011-10-04	8	4th	4 10 26 31 37
2011-09-26	1	3rd	10 23 31 32 39
2011-09-25	12	5th	1 2 14 17 31
2011-09-13	3	5th	12 15 18 23 31
2011-09-10	2	4th	8 21 26 31 37
2011-09-08	8	5th	2 12 19 30 31
2011-08-31	3	4th	18 20 29 31 34
2011-08-28	2	3rd	8 19 31 36 37
2011-08-26	5	4th	8 27 29 31 35
2011-08-21	3	3rd	25 28 31 35 37
2011-08-18	4	5th	8 13 29 30 31
2011-08-14	17	3rd	9 29 31 33 39
2011-07-27	7	5th	9 11 23 30 31
2011-07-20	1	5th	11 19 27 30 31
2011-07-19	4	4th	13 16 29 31 33
2011-07-15	9	5th	17 18 24 30 31
2011-07-06	4	5th	5 10 15 27 31
2011-07-01	4	5th	5 11 14 30 31
2011-06-27	7	3rd	13 29 31 32 33
2011-06-20	4	4th	17 22 24 31 32
2011-06-16	10	4th	6 11 30 31 35
2011-06-06	1	4th	4 9 27 31 35
2011-06-05	1	3rd	19 25 31 36 37
2011-06-04	11	5th	1 11 17 24 31
2011-05-24	11	5th	2 5 16 26 31
2011-05-13	1	3rd	7 14 31 32 37
2011-05-12	5	4th	11 23 27 31 35
2011-05-07	10	3rd	13 23 31 38 39
2011-04-27	12	3rd	12 28 31 35 38
2011-04-15	8	4th	5 27 30 31 39
2011-04-07	2	3rd	16 17 31 34 38
2011-04-05	2	4th	4 6 30 31 32
2011-04-03	7	5th	3 6 10 25 31
2011-03-27	2	5th	5 16 18 23 31
2011-03-25	6	5th	12 13 19 24 31
2011-03-19	5	4th	6 16 30 31 39
2011-03-14	19	5th	4 10 21 23 31
2011-02-23	1	3rd	11 17 31 37 38
2011-02-22	8	4th	2 27 30 31 32
2011-02-14	2	4th	10 22 26 31 34
2011-02-12	35	2nd	15 31 33 34 38
2011-01-08	10	4th	5 19 28 31 35
2010-12-29	14	4th	6 27 30 31 35
2010-12-15	13	3rd	1 21 31 35 36
2010-12-02	7	2nd	21 31 32 34 35
2010-11-25	2	3rd	6 14 31 32 38
2010-11-23	3	3rd	4 20 31 34 38
2010-11-20	4	5th	3 14 17 23 31
2010-11-16	3	5th	13 14 17 25 31
2010-11-13	5	4th	14 18 25 31 33
2010-11-08	19	5th	16 17 27 30 31
2010-10-20	14	3rd	1 11 31 34 35
2010-10-06	5	3rd	7 27 31 33 37
2010-10-01	2	4th	2 4 11 31 32
2010-09-29	4	4th	8 15 23 31 32
2010-09-25	14	5th	14 20 24 27 31
2010-09-11	12	5th	6 7 9 18 31
2010-08-30	1	4th	1 6 23 31 32
2010-08-29	9	5th	3 10 17 30 31
2010-08-20	3	4th	11 12 19 31 32
2010-08-17	12	4th	11 20 30 31 35
2010-08-05	8	4th	17 19 21 31 39
2010-07-28	14	4th	2 9 16 31 33
2010-07-14	1	4th	12 23 28 31 33
2010-07-13	27	4th	9 14 21 31 32
2010-06-16	7	3rd	4 18 31 38 39
2010-06-09	12	4th	21 22 29 31 34
2010-05-28	8	3rd	9 21 31 36 38
2010-05-20	7	5th	10 21 24 30 31
2010-05-13	3	4th	7 21 26 31 39
2010-05-10	23	3rd	3 10 31 32 34
2010-04-17	1	5th	4 24 27 29 31
2010-04-16	4	4th	8 23 30 31 34
2010-04-12	—	5th	17 18 22 26 31