Number 31

In PowerBall under the 5/50 + 1/20 · since Jun 2018 rules — 865 draws, 5 from 1–50.

86times drawn · chance expected 87 −0.06σ

5draws waiting · a wait this long: 66% for any number

10.1average wait between appearances · chance says 10.0

46longest completed wait · 53% chance of one at least that long

31 is drawn as often as chance explains

Drawn 86 times in 865 draws against 86.5 expected, −0.06σ. Each draw is independent: after 5 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 86 times in 865 draws · average wait 10.1 draws · longest completed wait 46 · waiting 5 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 smallest2 · chance 1.6
2nd smallest10 · chance 11.8
3rd smallest29 · chance 30.2
4th smallest32 · chance 31.3
5th smallest13 · chance 11.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 7.0 shared draws, and the leaders are simply the ones that came out ahead this time.

40 2 5 22 28 6

It has shared a draw with every one of the other 49 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 50. 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
2026-09-22	6	3rd	2 28 31 38 50
2026-09-01	4	3rd	14 16 31 34 40
2026-08-18	3	4th	3 7 20 31 39
2026-08-07	6	3rd	8 22 31 39

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 5/50 tonight whatever it did last week.

2024-08-02	4	4th	2 5 10 31 32
2024-07-19	3	4th	2 6 9 31 37
2024-07-09	3	4th	2 7 19 31 45
2024-06-28	12	3rd	19 22 31 40 47
2024-05-17	4	4th	18 22 23 31 32
2024-05-03	7	2nd	28 31 33 37 44
2024-04-09	10	3rd	5 7 31 36 42
2024-03-05	17	5th	2 4 23 27 31
2024-01-05	17	3rd	2 18 31 43 50
2023-11-07	1	4th	3 13 28 31 40
2023-11-03	2	5th	1 8 24 26 31
2023-10-27	8	4th	16 17 21 31 36
2023-09-29	9	4th	6 14 27 31 47
2023-08-29	11	3rd	8 23 31 36 44
2023-07-21	2	4th	19 21 25 31 48
2023-07-14	3	3rd	1 22 31 32 41
2023-07-04	6	4th	13 29 30 31 47
2023-06-13	31	3rd	10 28 31 35 42
2023-02-24	14	3rd	7 23 31 38 43
2023-01-06	10	3rd	6 20 31 37 46
2022-12-02	25	4th	12 14 28 31 34
2022-09-06	18	4th	2 8 26 31 34
2022-07-05	38	5th	13 14 16 18 31
2022-02-22	1	3rd	18 29 31 32 49
2022-02-18	5	3rd	2 15 31 47 48
2022-02-01	17	1st	31 33 37 40 43
2021-12-03	1	5th	9 19 20 30 31
2021-11-30	19	4th	2 17 22 31 35
2021-09-24	3	4th	14 17 24 31 43
2021-09-14	19	4th	16 18 23 31 35
2021-07-09	12	4th	3 12 29 31 38
2021-05-28	4	1st	31 33 36 38 44
2021-05-14	9	4th	3 16 28 31 48
2021-04-13	1	4th	6 8 22 31 42
2021-04-09	15	2nd	18 31 39 45 46
2021-02-16	9	3rd	5 18 31 36 45
2021-01-15	32	2nd	24 31 40 45 48
2020-09-22	46	4th	3 10 28 31 41
2020-04-14	13	4th	6 11 25 31 46
2020-02-28	1	2nd	1 31 37 49 50
2020-02-25	8	5th	4 10 17 26 31
2020-01-28	3	3rd	14 18 31 36 49
2020-01-17	5	5th	7 8 18 26 31
2019-12-31	13	2nd	22 31 44 49 50
2019-11-15	7	3rd	13 15 31 37 49
2019-10-22	1	3rd	3 22 31 35 48
2019-10-18	4	3rd	15 21 31 34 44
2019-10-04	9	5th	4 5 23 29 31
2019-09-03	5	4th	6 11 16 31 34
2019-08-16	4	4th	3 10 14 31 41
2019-08-02	22	2nd	5 31 45 46 47
2019-05-17	12	4th	9 19 29 31 46
2019-04-05	2	4th	15 22 29 31 48
2019-03-29	9	5th	3 6 11 13 31
2019-02-26	6	4th	10 20 28 31 33
2019-02-05	3	3rd	5 28 31 35 50
2019-01-25	34	3rd	20 27 31 40 41
2018-09-28	3	3rd	7 24 31 36 50
2018-09-18	1	4th	15 22 23 31 38
2018-09-14	19	4th	10 17 29 31 40
2018-07-10	3	2nd	1 31 34 38 46
2018-06-29	—	4th	15 22 25 31 37