Number 31

In Cash 5 under the 5/41 · May 2016 – Nov 2018 rules — 897 draws, 5 from 1–41 (an earlier era).

101times drawn · chance expected 109 −0.86σ

13draws waiting · a wait this long: 21% for any number

8.8average wait between appearances · chance says 8.2

47longest completed wait · 22% chance of one at least that long

31 is drawn as often as chance explains

Drawn 101 times in 897 draws against 109.4 expected, −0.86σ. Each draw is independent: after 13 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 101 times in 897 draws · average wait 8.8 draws · longest completed wait 47 · waiting 13 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 smallest6 · chance 4.0
3rd smallest22 · chance 21.6
4th smallest44 · chance 44.9
5th smallest29 · chance 30.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 10.1 shared draws, and the leaders are simply the ones that came out ahead this time.

20 27 34 38 14 17

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
2018-10-21	3	3rd	10 27 31 32 36
2018-10-18	1	2nd	23 31 32 36 38
2018-10-17	10	4th	2 5 28 31 34
2018-10-07	2	5th	10 13 23

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.

2018-05-03	13	3rd	20 22 31 32 38
2018-04-20	1	3rd	10 29 31 34 36
2018-04-19	2	4th	13 21 27 31 38
2018-04-17	15	5th	1 5 23 24 31
2018-04-02	10	4th	6 17 26 31 34
2018-03-23	8	5th	8 17 25 26 31
2018-03-15	17	4th	7 22 24 31 34
2018-02-26	11	4th	14 22 27 31 36
2018-02-15	14	4th	2 11 17 31 35
2018-02-01	1	3rd	17 29 31 32 41
2018-01-31	7	4th	6 9 28 31 40
2018-01-24	5	2nd	17 31 35 39 40
2018-01-19	9	4th	8 14 17 31 32
2018-01-10	2	4th	6 13 28 31 33
2018-01-08	7	5th	8 10 20 27 31
2018-01-01	1	3rd	9 18 31 34 38
2017-12-31	14	5th	2 20 22 30 31
2017-12-17	19	2nd	13 31 32 38 41
2017-11-28	14	5th	1 16 20 27 31
2017-11-14	4	4th	22 28 30 31 34
2017-11-10	4	5th	5 8 17 24 31
2017-11-06	14	5th	7 11 22 27 31
2017-10-23	9	5th	3 4 8 10 31
2017-10-13	4	4th	9 17 18 31 33
2017-10-09	11	3rd	1 19 31 34 41
2017-09-27	8	3rd	15 27 31 33 39
2017-09-19	3	4th	8 19 24 31 36
2017-09-16	16	5th	5 8 11 18 31
2017-08-31	6	3rd	18 23 31 36 41
2017-08-25	1	3rd	17 21 31 33 38
2017-08-24	3	5th	14 17 25 26 31
2017-08-21	19	5th	18 26 27 28 31
2017-08-02	2	4th	1 12 21 31 38
2017-07-31	3	4th	6 13 20 31 33
2017-07-28	4	2nd	9 31 32 33 35
2017-07-24	17	5th	9 21 25 28 31
2017-07-07	5	4th	11 21 25 31 39
2017-07-02	8	4th	9 16 20 31 34
2017-06-24	6	4th	14 21 27 31 41
2017-06-18	17	3rd	9 18 31 34 39
2017-06-01	1	3rd	20 23 31 37 40
2017-05-31	10	3rd	1 20 31 36 37
2017-05-21	12	5th	9 12 14 19 31
2017-05-09	1	4th	11 17 29 31 38
2017-05-08	8	4th	9 14 15 31 32
2017-04-30	4	5th	7 10 26 30 31
2017-04-26	5	3rd	11 15 31 34 38
2017-04-21	11	4th	5 23 28 31 39
2017-04-10	8	3rd	20 27 31 38 41
2017-03-31	5	4th	3 4 19 31 35
2017-03-26	2	4th	13 28 29 31 40
2017-03-24	7	4th	5 8 25 31 39
2017-03-17	11	4th	11 16 29 31 39
2017-03-06	23	4th	14 16 21 31 39
2017-02-11	16	4th	11 18 25 31 39
2017-01-26	16	3rd	14 21 31 32 36
2017-01-10	1	5th	3 16 18 28 31
2017-01-09	47	3rd	3 24 31 33 37
2016-11-23	22	5th	7 19 20 26 31
2016-11-01	1	4th	7 17 18 31 36
2016-10-31	17	2nd	24 31 33 38 39
2016-10-14	13	4th	4 5 20 31 34
2016-10-01	10	4th	2 6 14 31 38
2016-09-21	23	4th	15 18 29 31 33
2016-08-29	27	5th	2 16 20 30 31
2016-08-02	4	3rd	7 25 31 36 39
2016-07-29	13	4th	12 23 30 31 39
2016-07-16	8	5th	12 16 18 20 31
2016-07-08	9	4th	15 22 25 31 41
2016-06-29	11	5th	8 9 14 25 31
2016-06-18	2	4th	14 16 18 31 35
2016-06-16	3	4th	3 11 27 31 37
2016-06-13	9	4th	3 18 28 31 32
2016-06-04	1	4th	3 5 15 31 37
2016-06-03	4	4th	16 24 27 31 34
2016-05-30	13	2nd	15 31 34 36 38
2016-05-17	—	4th	6 7 10 31 41