Number 31

In Big Sky Bonus under the 4/31 + 1/17 · Nov 2016 – Oct 2024 rules — 2,889 draws, 4 from 1–31 (an earlier era).

169times drawn · chance expected 373 −11.31σ

17draws waiting · a wait this long: 11% for any number

7.2average wait between appearances · chance says 7.8

34longest completed wait · 83% chance of one at least that long

31 deviates beyond what chance explains for a pool of 31

Drawn 169 times in 2,889 draws against 372.8 expected, −11.31σ. It passes even the threshold tightened for testing every number at once. Read the draw-by-draw history below before reading anything into it — and it still says nothing about the next draw.

Number 31, draw by draw

Drawn 169 times in 2,889 draws · average wait 7.2 draws · longest completed wait 34 · waiting 17 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 smallest0 · chance 0.0
3rd smallest0 · chance 0.0
4th smallest169 · chance 169.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 16.9 shared draws, and the leaders are simply the ones that came out ahead this time.

24 20 6 8 10 13

It has shared a draw with every one of the other 30 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 31. 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
2024-09-28	4	4th	2 13 16 31
2024-09-24	2	4th	11 20 26 31
2024-09-22	14	4th	7 14 22 31
2024-09-08	10	4th	5 6 19 31

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 4/31 tonight whatever it did last week.

2024-03-30	2	4th	14 19 24 31
2024-03-28	7	4th	2 24 25 31
2024-03-21	11	4th	6 8 29 31
2024-03-10	34	4th	4 20 28 31
2024-02-05	1	4th	7 20 27 31
2024-02-04	4	4th	16 28 29 31
2024-01-31	4	4th	1 4 5 31
2024-01-27	5	4th	9 12 27 31
2024-01-22	15	4th	3 10 24 31
2024-01-07	2	4th	5 9 14 31
2024-01-05	2	4th	22 24 26 31
2024-01-03	9	4th	1 2 15 31
2023-12-25	5	4th	2 18 19 31
2023-12-20	1	4th	1 2 27 31
2023-12-19	5	4th	10 11 30 31
2023-12-14	9	4th	2 7 27 31
2023-12-05	1	4th	2 16 26 31
2023-12-04	3	4th	12 14 19 31
2023-12-01	3	4th	9 13 29 31
2023-11-28	2	4th	6 10 22 31
2023-11-26	1	4th	12 13 24 31
2023-11-25	5	4th	11 17 20 31
2023-11-20	9	4th	4 5 25 31
2023-11-11	1	4th	9 12 29 31
2023-11-10	15	4th	3 24 28 31
2023-10-26	10	4th	15 24 25 31
2023-10-16	8	4th	4 10 20 31
2023-10-08	11	4th	7 11 24 31
2023-09-27	1	4th	4 17 28 31
2023-09-26	2	4th	9 25 29 31
2023-09-24	17	4th	6 7 12 31
2023-09-07	6	4th	15 22 28 31
2023-09-01	3	4th	3 20 28 31
2023-08-29	9	4th	16 22 25 31
2023-08-20	14	4th	1 18 27 31
2023-08-06	5	4th	1 5 14 31
2023-08-01	1	4th	6 28 29 31
2023-07-31	1	4th	2 11 24 31
2023-07-30	3	4th	7 13 15 31
2023-07-27	6	4th	10 20 29 31
2023-07-21	1	4th	6 21 23 31
2023-07-20	5	4th	5 6 27 31
2023-07-15	7	4th	4 15 24 31
2023-07-08	7	4th	13 21 28 31
2023-07-01	31	4th	11 15 20 31
2023-05-31	2	4th	12 18 30 31
2023-05-29	1	4th	6 20 23 31
2023-05-28	30	4th	15 17 26 31
2023-04-28	1	4th	4 14 20 31
2023-04-27	7	4th	10 12 22 31
2023-04-20	1	4th	5 20 22 31
2023-04-19	1	4th	10 26 28 31
2023-04-18	3	4th	10 11 20 31
2023-04-15	3	4th	15 20 21 31
2023-04-12	15	4th	5 8 10 31
2023-03-28	4	4th	5 13 24 31
2023-03-24	3	4th	4 11 15 31
2023-03-21	11	4th	26 28 29 31
2023-03-10	3	4th	6 11 28 31
2023-03-07	1	4th	11 22 27 31
2023-03-06	8	4th	16 24 30 31
2023-02-26	6	4th	5 12 24 31
2023-02-20	7	4th	4 15 25 31
2023-02-13	9	4th	1 13 17 31
2023-02-04	2	4th	12 24 30 31
2023-02-02	5	4th	6 14 22 31
2023-01-28	1	4th	1 23 24 31
2023-01-27	18	4th	22 27 29 31
2023-01-09	11	4th	23 26 29 31
2022-12-29	3	4th	10 11 22 31
2022-12-26	1	4th	2 7 23 31
2022-12-25	10	4th	8 15 27 31
2022-12-15	7	4th	1 10 20 31
2022-12-08	13	4th	5 8 14 31
2022-11-25	6	4th	1 12 20 31
2022-11-19	8	4th	12 14 15 31
2022-11-11	1	4th	4 9 13 31
2022-11-10	1	4th	12 13 23 31
2022-11-09	2	4th	14 17 29 31
2022-11-07	12	4th	6 12 26 31
2022-10-26	7	4th	9 20 27 31
2022-10-19	26	4th	4 11 22 31
2022-09-23	9	4th	14 17 25 31
2022-09-14	9	4th	20 24 28 31
2022-09-05	17	4th	16 17 23 31
2022-08-19	5	4th	20 24 28 31
2022-08-14	14	4th	4 10 20 31
2022-07-31	6	4th	14 22 26 31
2022-07-25	4	4th	10 26 27 31
2022-07-21	19	4th	17 24 27 31
2022-07-02	5	4th	2 11 25 31
2022-06-27	4	4th	3 16 23 31
2022-06-23	2	4th	13 26 27 31
2022-06-21	8	4th	1 8 9 31
2022-06-13	5	4th	5 21 27 31
2022-06-08	6	4th	6 8 12 31
2022-06-02	1	4th	8 18 29 31
2022-06-01	15	4th	9 13 29 31
2022-05-17	18	4th	7 9 20 31
2022-04-29	9	4th	9 23 28 31
2022-04-20	20	4th	14 19 25 31
2022-03-31	14	4th	11 16 23 31
2022-03-17	6	4th	6 20 21 31
2022-03-11	3	4th	4 11 22 31
2022-03-08	4	4th	9 16 30 31
2022-03-04	12	4th	3 6 26 31
2022-02-20	9	4th	21 28 29 31
2022-02-11	11	4th	7 16 24 31
2022-01-31	17	4th	8 15 21 31
2022-01-14	2	4th	8 11 19 31
2022-01-12	2	4th	8 10 30 31
2022-01-10	8	4th	8 19 24 31
2022-01-02	4	4th	2 10 28 31
2021-12-29	3	4th	1 13 30 31
2021-12-26	3	4th	7 18 29 31
2021-12-23	5	4th	13 19 24 31
2021-12-18	4	4th	10 11 30 31
2021-12-14	3	4th	13 22 29 31
2021-12-11	5	4th	6 21 22 31
2021-12-06	19	4th	3 14 24 31
2021-11-17	5	4th	6 27 28 31
2021-11-12	1	4th	1 3 10 31
2021-11-11	14	4th	2 13 14 31
2021-10-28	2	4th	1 13 22 31
2021-10-26	4	4th	20 24 29 31
2021-10-22	3	4th	1 8 19 31
2021-10-19	8	4th	5 8 26 31
2021-10-11	4	4th	8 12 23 31
2021-10-07	9	4th	7 8 28 31
2021-09-28	1	4th	10 20 30 31
2021-09-27	1	4th	2 8 12 31
2021-09-26	23	4th	8 10 29 31
2021-09-03	5	4th	2 6 19 31
2021-08-29	4	4th	6 19 29 31
2021-08-25	2	4th	10 15 19 31
2021-08-23	20	4th	14 19 26 31
2021-08-03	12	4th	6 15 24 31
2021-07-22	9	4th	8 10 13 31
2021-07-13	5	4th	1 3 27 31
2021-07-08	27	4th	9 13 21 31
2021-06-11	3	4th	14 18 20 31
2021-06-08	3	4th	6 9 29 31
2021-06-05	1	4th	15 19 23 31
2021-06-04	3	4th	5 8 11 31
2021-06-01	—	4th	6 17 26 31