Number 31

In Cash 5 under the 5/34 · Apr 2010 – Oct 2020 rules — 2,844 draws, 5 from 1–34 (an earlier era).

422times drawn · chance expected 418 +0.20σ

7draws waiting · a wait this long: 39% for any number

6.7average wait between appearances · chance says 6.8

37longest completed wait · 75% chance of one at least that long

31 is drawn as often as chance explains

Drawn 422 times in 2,844 draws against 418.2 expected, +0.20σ. 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 422 times in 2,844 draws · average wait 6.7 draws · longest completed wait 37 · 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 0.3
3rd smallest17 · chance 13.5
4th smallest134 · chance 125.6
5th smallest270 · chance 282.6

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 51.2 shared draws, and the leaders are simply the ones that came out ahead this time.

17 20 33 10 9 23

It has shared a draw with every one of the other 33 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 34. 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
2020-10-20	11	5th	5 13 20 27 31
2020-10-09	22	5th	6 9 16 18 31
2020-09-17	15	5th	4 10 14 16 31
2020-09-02	14	5th	2 12 19

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 5/34 tonight whatever it did last week.

2020-04-02	1	5th	3 12 17 24 31
2020-04-01	2	4th	15 22 26 31 33
2020-03-30	1	4th	9 10 25 31 32
2020-03-29	22	5th	17 19 20 21 31
2019-12-15	17	4th	9 16 20 31 32
2019-11-28	3	5th	1 12 23 30 31
2019-11-25	11	5th	10 14 25 30 31
2019-11-14	5	5th	2 6 13 30 31
2019-11-09	24	5th	3 12 20 28 31
2019-10-16	1	5th	2 24 26 28 31
2019-10-15	5	5th	13 20 21 30 31
2019-10-10	8	5th	4 11 20 21 31
2019-10-02	4	5th	9 12 13 23 31
2019-09-28	2	4th	8 15 16 31 33
2019-09-26	3	5th	5 10 24 28 31
2019-09-23	3	4th	3 12 29 31 32
2019-09-20	5	4th	1 19 30 31 33
2019-09-15	3	5th	3 8 12 29 31
2019-09-12	12	5th	8 11 15 17 31
2019-08-31	4	5th	10 15 17 27 31
2019-08-27	1	5th	5 7 15 21 31
2019-08-26	2	4th	15 25 30 31 33
2019-08-24	1	4th	6 9 14 31 34
2019-08-23	10	5th	5 10 20 30 31
2019-08-13	2	5th	5 9 10 16 31
2019-08-11	3	5th	6 9 27 29 31
2019-08-08	9	5th	17 23 24 27 31
2019-07-30	14	5th	6 7 22 24 31
2019-07-16	2	4th	9 12 15 31 33
2019-07-14	2	5th	2 11 23 26 31
2019-07-12	7	5th	8 13 22 28 31
2019-07-05	1	5th	4 23 24 25 31
2019-07-04	10	3rd	3 19 31 32 34
2019-06-24	3	5th	13 16 27 30 31
2019-06-21	17	4th	4 8 13 31 33
2019-06-04	1	4th	1 15 18 31 32
2019-06-03	14	5th	5 13 16 17 31
2019-05-20	4	5th	2 11 27 30 31
2019-05-16	3	5th	1 14 22 26 31
2019-05-13	24	3rd	24 29 31 32 34
2018-12-25	4	4th	2 4 21 31 33
2018-12-21	8	5th	4 10 14 24 31
2018-12-13	6	5th	2 11 29 30 31
2018-12-07	8	5th	19 20 23 25 31
2018-11-29	7	4th	1 17 23 31 32
2018-11-22	5	5th	5 9 26 29 31
2018-11-17	11	4th	9 10 11 31 34
2018-11-06	1	4th	3 25 27 31 34
2018-11-05	1	5th	9 19 25 26 31
2018-11-04	3	5th	11 15 22 23 31
2018-11-01	2	5th	6 8 17 19 31
2018-10-30	12	4th	10 13 24 31 33
2018-10-18	18	5th	20 22 27 30 31
2018-09-30	6	5th	5 11 21 27 31
2018-09-24	5	5th	8 14 18 20 31
2018-09-19	6	4th	17 19 21 31 34
2018-09-13	10	4th	5 8 25 31 34
2018-09-03	2	5th	2 6 18 30 31
2018-09-01	25	5th	14 19 20 21 31
2018-08-07	2	5th	3 10 12 27 31
2018-08-05	2	5th	7 9 14 26 31
2018-08-03	4	4th	4 13 23 31 33
2018-07-30	8	4th	2 4 14 31 33
2018-07-22	3	4th	4 7 14 31 33
2018-07-19	3	4th	4 7 19 31 33
2018-07-16	4	4th	7 12 30 31 34
2018-07-12	2	5th	4 18 19 30 31
2018-07-10	20	5th	10 16 22 23 31
2018-06-20	8	5th	2 7 18 22 31
2018-06-12	1	5th	3 12 17 30 31
2018-06-11	5	4th	17 19 24 31 32
2018-06-06	9	5th	9 13 23 26 31
2018-05-28	10	4th	2 20 21 31 33
2018-05-18	5	5th	9 18 28 29 31
2018-05-13	5	5th	11 14 22 28 31
2018-05-08	14	5th	2 8 13 27 31
2017-12-30	17	5th	3 10 16 21 31
2017-12-13	1	5th	4 8 28 29 31
2017-12-12	6	5th	4 18 25 29 31
2017-12-06	4	5th	7 8 14 22 31
2017-12-02	5	5th	1 8 16 25 31
2017-11-27	17	5th	13 21 23 25 31
2017-11-10	8	4th	12 16 24 31 33
2017-11-02	1	4th	7 23 28 31 32
2017-11-01	37	5th	12 19 20 29 31
2017-09-25	15	5th	8 15 19 27 31
2017-09-10	9	5th	6 13 14 30 31
2017-09-01	2	5th	15 17 24 25 31
2017-08-30	7	5th	10 18 20 29 31
2017-08-23	8	5th	4 15 21 22 31
2017-08-15	2	5th	3 5 26 29 31
2017-08-13	17	5th	13 21 26 27 31
2017-07-27	16	5th	4 8 17 20 31
2017-07-11	7	5th	6 23 24 26 31
2017-07-04	1	5th	2 7 11 30 31
2017-07-03	6	5th	5 15 17 29 31
2017-06-27	27	5th	1 5 17 23 31
2017-05-31	7	4th	15 20 22 31 33
2017-05-24	7	5th	1 7 10 27 31
2017-05-17	1	5th	4 19 24 28 31
2017-05-16	5	5th	21 23 25 28 31
2017-05-11	7	4th	11 14 21 31 32
2017-05-04	1	5th	8 9 16 22 31
2017-05-03	22	5th	2 8 10 13 31
2016-12-17	9	4th	7 15 30 31 33
2016-12-08	2	5th	3 20 21 30 31
2016-12-06	3	4th	9 12 24 31 34
2016-12-03	3	4th	10 20 23 31 33
2016-11-30	2	5th	3 5 24 29 31
2016-11-28	3	4th	5 27 28 31 34
2016-11-25	15	5th	1 8 10 23 31
2016-11-10	16	4th	1 14 21 31 34
2016-10-25	3	5th	11 17 22 28 31
2016-10-22	15	5th	1 9 15 25 31
2016-10-07	8	5th	6 11 12 21 31
2016-09-29	3	5th	3 4 21 23 31
2016-09-26	9	5th	4 18 23 27 31
2016-09-17	15	5th	4 13 15 25 31
2016-09-02	1	5th	2 10 27 29 31
2016-09-01	15	4th	3 6 25 31 33
2016-08-17	5	4th	1 4 9 31 33
2016-08-12	4	5th	3 16 23 30 31
2016-08-08	5	4th	14 27 29 31 33
2016-08-03	1	5th	4 10 11 13 31
2016-08-02	8	5th	1 13 17 20 31
2016-07-25	9	3rd	8 21 31 32 33
2016-07-16	4	5th	7 12 20 22 31
2016-07-12	2	5th	12 16 17 27 31
2016-07-10	9	4th	4 8 13 31 34
2016-07-01	19	5th	1 12 19 20 31
2016-06-12	2	5th	5 14 26 29 31
2016-06-10	20	5th	6 20 22 29 31
2016-05-21	2	5th	2 5 11 18 31
2016-05-19	3	5th	8 16 29 30 31
2016-05-16	2	5th	7 8 17 29 31
2016-05-14	6	4th	9 13 24 31 34
2016-05-08	16	5th	5 9 10 19 31
2015-12-28	20	5th	16 20 22 28 31
2015-12-08	28	5th	5 9 15 28 31
2015-11-10	5	5th	10 17 22 24 31
2015-11-05	1	5th	4 6 7 10 31
2015-11-04	4	5th	2 14 17 19 31
2015-10-31	2	4th	6 10 29 31 32
2015-10-29	6	5th	1 5 20 22 31
2015-10-23	3	4th	6 10 22 31 34
2015-10-20	1	4th	6 8 25 31 33
2015-10-19	8	5th	2 11 26 28 31
2015-10-11	3	5th	6 13 28 30 31
2015-10-08	3	5th	4 19 21 22 31
2015-10-05	3	5th	2 8 28 29 31
2015-10-02	4	4th	17 20 22 31 34
2015-09-28	2	4th	15 16 21 31 34
2015-09-26	5	4th	8 17 19 31 34
2015-09-21	1	4th	13 21 28 31 34
2015-09-20	5	5th	3 12 20 28 31
2015-09-15	1	4th	7 22 30 31 32
2015-09-14	20	5th	8 12 17 29 31
2015-08-25	11	5th	2 7 11 21 31
2015-08-14	5	5th	4 14 21 25 31
2015-08-09	2	5th	13 16 24 28 31
2015-08-07	6	5th	6 16 23 27 31
2015-08-01	4	5th	11 12 14 25 31
2015-07-28	2	5th	17 18 19 30 31
2015-07-26	4	5th	10 11 16 23 31
2015-07-22	5	4th	2 19 26 31 34
2015-07-17	3	5th	6 9 12 15 31
2015-07-14	5	5th	8 23 24 29 31
2015-07-09	5	5th	4 17 18 30 31
2015-07-04	1	5th	6 20 23 27 31
2015-07-03	5	5th	4 12 14 15 31
2015-06-28	4	5th	1 6 12 30 31
2015-06-24	18	4th	5 29 30 31 32
2015-06-06	32	4th	1 3 4 31 34
2015-05-05	13	4th	1 3 29 31 32
2014-12-28	3	5th	7 8 17 19 31
2014-12-25	2	5th	3 14 15 23 31
2014-12-23	27	5th	9 15 22 30 31
2014-11-26	1	5th	5 9 22 27 31
2014-11-25	10	3rd	8 26 31 32 33
2014-11-15	1	5th	7 8 11 20 31
2014-11-14	7	5th	2 5 9 17 31
2014-11-07	3	5th	12 24 27 29 31
2014-11-04	1	4th	10 12 14 31 33
2014-11-03	11	4th	1 11 20 31 32
2014-10-23	9	4th	12 16 24 31 32
2014-10-14	10	5th	1 3 11 12 31
2014-10-04	11	5th	17 23 26 27 31
2014-09-23	4	5th	4 20 24 29 31
2014-09-19	2	4th	25 27 30 31 34
2014-09-17	10	4th	9 18 19 31 33
2014-09-07	5	5th	16 26 27 28 31
2014-09-02	4	5th	8 12 19 27 31
2014-08-29	4	4th	22 23 30 31 33
2014-08-25	2	4th	1 14 17 31 32
2014-08-23	4	4th	7 21 23 31 34
2014-08-19	16	5th	15 16 18 29 31
2014-08-03	11	5th	1 13 19 23 31
2014-07-23	6	4th	2 14 17 31 34
2014-07-17	3	4th	2 15 25 31 34
2014-07-14	5	5th	3 20 21 27 31
2014-07-09	4	5th	2 7 12 19 31
2014-07-05	9	5th	4 11 25 30 31
2014-06-26	4	5th	2 6 7 22 31
2014-06-22	1	5th	10 15 23 26 31
2014-06-21	4	5th	1 15 17 26 31
2014-06-17	1	5th	3 7 15 28 31
2014-06-16	1	5th	12 13 14 22 31
2014-06-15	5	5th	11 12 17 29 31
2014-06-10	5	3rd	9 28 31 33 34
2014-06-05	3	4th	4 16 19 31 34
2014-06-02	9	5th	4 10 12 24 31
2014-05-24	1	5th	7 17 26 28 31
2014-05-23	7	5th	4 8 9 19 31
2014-05-16	6	5th	1 8 10 25 31
2014-05-10	16	5th	4 5 11 23 31
2013-12-30	1	3rd	12 15 31 32 33
2013-12-29	7	4th	2 5 29 31 34
2013-12-22	2	5th	5 11 13 29 31
2013-12-20	3	5th	1 7 19 22 31
2013-12-17	22	3rd	10 14 31 32 33
2013-11-25	4	5th	1 20 23 27 31
2013-11-21	3	5th	10 17 18 26 31
2013-11-18	5	5th	12 19 25 28 31
2013-11-13	1	4th	2 7 10 31 32
2013-11-12	5	4th	11 13 20 31 34
2013-11-07	4	3rd	1 30 31 32 33
2013-11-03	4	2nd	14 31 32 33 34
2013-10-30	5	5th	3 6 11 25 31
2013-10-24	5	4th	1 6 14 31 33
2013-10-19	15	5th	7 12 15 26 31
2013-10-04	8	5th	7 10 16 25 31
2013-09-26	1	5th	3 24 27 30 31
2013-09-25	1	5th	15 22 25 28 31
2013-09-24	3	5th	1 4 11 22 31
2013-09-21	12	5th	4 16 18 26 31
2013-09-09	12	5th	3 5 13 23 31
2013-08-28	2	5th	17 18 24 27 31
2013-08-26	3	5th	1 10 16 17 31
2013-08-23	1	4th	3 7 8 31 32
2013-08-22	17	5th	9 13 15 20 31
2013-08-05	6	5th	3 8 17 21 31
2013-07-30	2	5th	4 6 11 25 31
2013-07-28	1	4th	3 5 20 31 32
2013-07-27	1	5th	19 22 26 30 31
2013-07-26	1	4th	11 18 28 31 34
2013-07-25	3	4th	2 8 9 31 32
2013-07-22	2	5th	6 12 21 22 31
2013-07-20	4	5th	8 17 26 28 31
2013-07-16	1	4th	10 29 30 31 33
2013-07-15	4	4th	10 20 26 31 33
2013-07-11	4	4th	11 17 26 31 34
2013-07-07	4	5th	1 2 4 28 31
2013-07-03	12	5th	8 9 26 27 31
2013-06-21	8	4th	5 19 25 31 33
2013-06-13	14	5th	5 15 17 21 31
2013-05-30	8	5th	5 8 26 30 31
2013-05-22	3	5th	7 14 20 26 31
2013-05-19	1	5th	5 10 12 26 31
2013-05-18	8	4th	3 4 18 31 32
2013-05-10	4	5th	6 15 20 25 31
2013-05-06	10	4th	7 25 26 31 34
2013-04-26	2	4th	12 23 28 31 34
2012-12-31	2	4th	5 14 22 31 34
2012-12-29	1	4th	17 21 22 31 32
2012-12-28	1	5th	1 4 16 25 31
2012-12-27	6	5th	5 7 9 25 31
2012-12-21	15	5th	1 13 20 24 31
2012-12-06	4	4th	1 3 25 31 34
2012-12-02	20	5th	5 16 20 28 31
2012-11-12	1	4th	14 17 26 31 34
2012-11-11	11	4th	5 27 30 31 32
2012-10-31	1	4th	8 9 23 31 33
2012-10-30	26	5th	1 4 8 26 31
2012-10-04	9	3rd	14 23 31 33 34
2012-09-25	14	5th	1 17 18 20 31
2012-09-11	12	5th	3 7 13 28 31
2012-08-30	2	4th	20 24 26 31 32
2012-08-28	2	4th	10 11 23 31 32
2012-08-26	1	5th	15 21 28 29 31
2012-08-25	1	4th	10 12 17 31 32
2012-08-24	11	5th	9 14 29 30 31
2012-08-13	24	5th	10 12 13 24 31
2012-07-20	7	4th	1 2 20 31 32
2012-07-13	4	4th	10 12 14 31 32
2012-07-09	11	4th	6 7 23 31 33
2012-06-27	1	3rd	8 28 31 33 34
2012-06-26	9	5th	6 11 26 28 31
2012-06-17	9	5th	2 14 26 28 31
2012-06-08	6	4th	1 3 29 31 33
2012-06-02	8	5th	16 24 25 30 31
2012-05-25	3	5th	4 13 14 25 31
2012-05-22	1	5th	4 8 13 18 31
2012-05-21	27	5th	9 14 20 30 31
2011-12-30	3	5th	8 21 27 28 31
2011-12-27	1	4th	9 15 25 31 34
2011-12-26	7	4th	1 2 22 31 33
2011-12-19	4	5th	7 20 21 23 31
2011-12-15	12	5th	12 13 17 18 31
2011-12-03	7	5th	3 13 22 29 31
2011-11-26	16	5th	3 6 23 26 31
2011-11-10	1	4th	5 23 26 31 34
2011-11-09	5	5th	3 15 20 27 31
2011-11-04	5	4th	7 10 14 31 33
2011-10-30	21	5th	12 18 20 23 31
2011-10-07	2	5th	2 11 22 28 31
2011-10-05	1	4th	5 9 15 31 33
2011-10-04	1	4th	3 10 19 31 32
2011-10-03	1	5th	2 8 15 27 31
2011-10-02	7	5th	17 23 28 29 31
2011-09-25	13	4th	7 9 21 31 32
2011-09-12	21	3rd	9 26 31 33 34
2011-08-21	5	3rd	7 25 31 33 34
2011-08-16	4	5th	4 11 16 24 31
2011-08-10	4	5th	10 23 24 25 31
2011-08-06	2	5th	4 9 20 23 31
2011-08-04	5	4th	7 11 17 31 33
2011-07-30	5	4th	15 21 23 31 32
2011-07-25	10	5th	1 15 20 27 31
2011-07-15	20	4th	11 16 28 31 32
2011-06-25	3	5th	9 12 19 22 31
2011-06-22	2	4th	4 8 10 31 33
2011-06-20	10	5th	15 21 29 30 31
2011-06-10	4	3rd	6 20 31 33 34
2011-06-06	17	5th	14 19 25 30 31
2011-05-20	7	5th	3 13 14 19 31
2011-05-13	4	5th	10 18 25 30 31
2011-05-09	7	4th	1 6 24 31 33
2011-05-02	1	4th	8 9 21 31 34
2011-05-01	16	4th	8 18 23 31 32
2011-04-14	8	5th	5 14 18 20 31
2011-04-06	2	4th	8 14 17 31 32
2011-04-04	2	5th	3 5 10 12 31
2011-04-02	1	4th	15 24 25 31 34
2011-04-01	1	5th	3 6 9 30 31
2011-03-31	3	5th	1 8 13 30 31
2011-03-28	3	5th	9 16 25 26 31
2011-03-25	10	4th	6 8 21 31 34
2011-03-15	5	5th	11 18 22 25 31
2011-03-10	3	5th	3 7 14 16 31
2011-03-07	2	5th	3 11 22 23 31
2011-03-05	3	5th	2 22 24 25 31
2011-03-02	1	4th	13 19 27 31 33
2011-03-01	2	4th	3 18 28 31 33
2011-02-27	13	4th	6 16 22 31 34
2011-02-14	9	5th	7 20 25 28 31
2011-02-05	2	4th	12 17 29 31 32
2011-02-03	2	5th	4 7 8 25 31
2011-02-01	10	5th	16 17 19 23 31
2011-01-22	6	5th	1 6 17 22 31
2011-01-16	4	5th	5 14 23 29 31
2011-01-12	1	5th	9 12 20 28 31
2011-01-11	2	5th	7 8 24 25 31
2011-01-09	2	4th	1 17 28 31 33
2011-01-07	8	5th	2 24 25 28 31
2010-12-30	11	5th	5 10 14 27 31
2010-12-19	4	5th	11 20 28 30 31
2010-12-15	1	4th	9 23 28 31 33
2010-12-14	3	4th	12 16 23 31 34
2010-12-11	1	4th	11 18 20 31 34
2010-12-10	11	5th	10 12 15 26 31
2010-11-29	13	5th	7 9 21 29 31
2010-11-16	6	5th	10 18 21 24 31
2010-11-10	7	4th	28 29 30 31 33
2010-11-03	7	3rd	23 29 31 32 33
2010-10-27	14	5th	5 11 16 19 31
2010-10-13	1	5th	7 21 27 29 31
2010-10-12	7	4th	6 8 20 31 32
2010-10-05	8	5th	12 19 26 29 31
2010-09-27	7	5th	6 16 19 24 31
2010-09-20	2	5th	5 7 14 25 31
2010-09-18	2	5th	2 5 18 29 31
2010-09-16	9	4th	4 6 15 31 33
2010-09-07	4	4th	2 17 18 31 32
2010-09-03	10	5th	6 10 11 18 31
2010-08-24	13	4th	11 18 25 31 33
2010-08-11	16	4th	3 10 19 31 33
2010-07-26	1	3rd	10 22 31 32 34
2010-07-25	3	5th	13 16 19 21 31
2010-07-22	2	5th	5 17 20 27 31
2010-07-20	2	3rd	1 13 31 32 34
2010-07-18	1	4th	3 18 19 31 32
2010-07-17	3	4th	5 9 16 31 32
2010-07-14	6	5th	4 7 12 25 31
2010-07-08	5	4th	6 10 26 31 32
2010-07-03	6	5th	4 10 28 29 31
2010-06-27	3	5th	3 22 23 28 31
2010-06-24	1	5th	19 20 25 27 31
2010-06-23	5	5th	7 9 14 28 31
2010-06-18	4	5th	1 9 22 28 31
2010-06-14	9	5th	1 6 19 24 31
2010-06-05	11	5th	1 9 17 20 31
2010-05-25	11	5th	9 13 17 26 31
2010-05-14	4	4th	3 4 23 31 33
2010-05-10	7	3rd	4 27 31 32 34
2010-05-03	2	4th	13 17 30 31 32
2010-05-01	1	5th	7 12 17 30 31
2010-04-30	14	5th	6 7 14 27 31
2010-04-16	—	4th	17 20 27 31 32