Number 31

In Megabucks Plus under the 5/41 · Apr 2010 – Apr 2022 rules — 1,257 draws, 5 from 1–41 (an earlier era).

166times drawn · chance expected 153 +1.10σ

1draws waiting · a wait this long: >99% for any number

7.5average wait between appearances · chance says 8.2

36longest completed wait · 83% chance of one at least that long

31 is drawn as often as chance explains

Drawn 166 times in 1,257 draws against 153.3 expected, +1.10σ. Each draw is independent: after 1 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 166 times in 1,257 draws · average wait 7.5 draws · longest completed wait 36 · waiting 1 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 0.4
2nd smallest8 · chance 6.5
3rd smallest38 · chance 35.6
4th smallest75 · chance 73.7
5th smallest45 · chance 49.8

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 16.6 shared draws, and the leaders are simply the ones that came out ahead this time.

22 30 19 26 33 39

It has shared a draw with every one of the other 40 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 41. 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
2022-04-20	12	4th	2 12 22 31 40
2022-03-09	8	4th	4 15 29 31 36
2022-02-09	2	3rd	9 10 31 37 39
2022-02-02	7	5th	2

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 5/41 tonight whatever it did last week.

2020-08-26	5	4th	9 11 18 31 32
2020-08-08	8	4th	2 4 29 31 38
2020-07-11	24	5th	5 16 28 29 31
2020-04-18	3	2nd	25 31 32 33 35
2020-04-08	3	2nd	13 31 33 38 40
2020-03-28	1	5th	5 6 8 30 31
2020-03-25	2	4th	7 13 14 31 39
2020-03-18	11	2nd	17 31 33 37 39
2020-02-08	7	4th	8 9 17 31 38
2020-01-15	25	5th	1 17 23 29 31
2019-10-19	13	3rd	17 22 31 37 41
2019-09-04	2	3rd	3 28 31 33 40
2019-08-28	4	4th	2 17 26 31 37
2019-08-14	1	4th	8 20 23 31 39
2019-08-10	18	4th	8 20 23 31 39
2019-06-08	4	4th	7 24 26 31 40
2019-05-25	5	5th	2 4 19 23 31
2019-05-08	3	4th	1 4 16 31 37
2019-04-27	2	4th	4 17 27 31 40
2019-04-20	1	2nd	25 31 32 37 41
2019-04-17	9	4th	3 6 20 31 32
2019-03-16	11	5th	4 6 19 25 31
2019-02-06	27	4th	18 26 29 31 33
2018-11-03	1	4th	2 11 15 31 34
2018-10-31	7	4th	16 22 23 31 38
2018-10-06	36	5th	7 22 23 29 31
2018-06-02	2	4th	15 25 28 31 32
2018-05-26	3	4th	4 7 18 31 35
2018-05-16	2	5th	3 18 20 25 31
2018-05-09	3	4th	1 7 26 31 34
2018-04-28	5	5th	10 16 18 26 31
2018-04-11	5	3rd	8 15 31 32 34
2018-03-24	3	5th	11 16 19 30 31
2018-03-14	10	4th	16 17 21 31 38
2018-02-07	5	3rd	23 27 31 33 41
2018-01-20	5	2nd	1 31 33 34 39
2018-01-03	3	4th	7 13 23 31 40
2017-12-23	2	4th	4 10 21 31 33
2017-12-16	1	4th	6 13 19 31 37
2017-12-13	23	5th	10 13 19 24 31
2017-09-23	24	5th	4 14 15 27 31
2017-07-01	1	4th	2 7 13 31 32
2017-06-28	21	5th	4 26 27 30 31
2017-04-15	3	4th	9 16 29 31 36
2017-04-05	5	4th	14 26 29 31 34
2017-03-18	2	5th	5 11 24 27 31
2017-03-11	10	3rd	8 20 31 33 36
2017-02-04	1	5th	9 22 24 30 31
2017-02-01	6	4th	8 16 30 31 38
2017-01-11	23	3rd	9 10 31 38 39
2016-10-22	1	4th	14 22 24 31 34
2016-10-19	1	5th	12 15 26 28 31
2016-10-15	15	5th	1 12 22 23 31
2016-08-24	4	5th	11 22 25 30 31
2016-08-10	9	3rd	15 27 31 37 40
2016-07-09	2	3rd	3 10 31 36 38
2016-07-02	27	5th	7 16 17 30 31
2016-03-30	4	4th	14 21 29 31 32
2016-03-16	1	4th	1 10 25 31 35
2016-03-12	6	3rd	1 28 31 33 35
2016-02-20	2	4th	6 19 22 31 39
2016-02-13	1	5th	4 11 19 28 31
2016-02-10	2	4th	3 7 26 31 41
2016-02-03	6	4th	7 14 23 31 40
2016-01-13	7	4th	9 10 25 31 34
2015-12-19	8	4th	15 18 22 31 38
2015-11-21	20	4th	9 12 15 31 39
2015-09-12	4	4th	2 22 28 31 37
2015-08-29	3	5th	5 19 20 29 31
2015-08-19	13	5th	4 7 14 30 31
2015-07-04	3	4th	5 19 22 31 33
2015-06-24	4	5th	11 14 19 28 31
2015-06-10	10	4th	21 22 30 31 34
2015-05-06	1	3rd	6 22 31 38 39
2015-05-02	4	4th	18 19 20 31 38
2015-04-18	35	3rd	1 22 31 34 37
2014-12-17	19	3rd	8 30 31 32 33
2014-10-11	8	4th	3 10 25 31 39
2014-09-13	2	3rd	11 30 31 39 40
2014-09-06	2	4th	17 19 26 31 38
2014-08-30	11	5th	14 15 22 26 31
2014-07-23	21	2nd	6 31 34 37 38
2014-05-10	17	3rd	25 28 31 35 38
2014-03-12	2	3rd	16 19 31 37 39
2014-03-05	5	4th	2 13 25 31 37
2014-02-15	2	4th	20 25 27 31 33
2014-02-08	1	5th	7 9 15 30 31
2014-02-05	3	4th	2 9 15 31 37
2014-01-25	11	4th	3 5 28 31 34
2013-12-18	6	5th	6 11 20 30 31
2013-11-27	2	4th	15 25 26 31 33
2013-11-20	1	5th	1 4 7 10 31
2013-11-16	11	4th	24 26 30 31 39
2013-10-09	4	3rd	4 21 31 34 38
2013-09-25	5	3rd	5 30 31 33 36
2013-09-07	8	3rd	2 5 31 35 41
2013-08-10	6	3rd	14 27 31 32 41
2013-07-20	9	3rd	6 22 31 33 35
2013-06-19	11	5th	3 18 19 22 31
2013-05-11	6	3rd	7 25 31 39 40
2013-04-20	3	5th	5 18 23 27 31
2013-04-10	6	3rd	21 24 31 33 41
2013-03-20	1	4th	4 7 23 31 37
2013-03-16	3	4th	16 18 30 31 40
2013-03-06	8	4th	8 20 21 31 36
2013-02-06	6	5th	8 20 21 26 31
2013-01-16	10	3rd	23 27 31 35 38
2012-12-12	5	5th	2 7 11 20 31
2012-11-24	1	3rd	4 10 31 34 35
2012-11-21	6	3rd	2 9 31 40 41
2012-10-31	6	5th	7 9 13 14 31
2012-10-10	2	5th	3 9 13 28 31
2012-10-03	6	5th	4 7 8 14 31
2012-09-12	14	3rd	2 27 31 32 35
2012-07-21	14	3rd	9 25 31 32 36
2012-06-02	9	4th	3 15 22 31 39
2012-05-02	22	3rd	19 21 31 35 36
2012-02-15	12	3rd	14 26 31 33 39
2012-01-04	2	4th	15 20 25 31 37
2011-12-28	8	5th	11 17 19 29 31
2011-11-30	8	4th	18 21 30 31 35
2011-11-02	2	4th	2 14 26 31 32
2011-10-26	1	4th	10 20 30 31 33
2011-10-22	7	4th	8 12 26 31 32
2011-09-28	7	5th	1 11 15 27 31
2011-09-03	6	4th	2 20 27 31 38
2011-08-13	17	3rd	11 29 31 35 36
2011-06-15	23	5th	15 17 27 29 31
2011-03-26	11	3rd	6 8 31 33 40
2011-02-16	5	4th	1 21 22 31 41
2011-01-29	2	2nd	13 31 36 40 41
2011-01-22	9	3rd	11 21 31 36 39
2010-12-22	7	5th	7 11 13 24 31
2010-11-27	6	4th	22 23 30 31 34
2010-11-06	2	5th	1 12 19 26 31
2010-10-30	7	3rd	22 30 31 34 38
2010-10-06	10	3rd	6 28 31 37 39
2010-09-01	9	4th	8 17 18 31 35
2010-07-31	1	4th	13 19 26 31 32
2010-07-28	4	3rd	13 30 31 34 41
2010-07-14	4	4th	3 12 14 31 33
2010-06-30	—	4th	16 22 28 31 36