Number 40

In Cash 5 under the 5/41 · Oct 2020 – Oct 2023 rules — 720 draws, 5 from 1–41 (an earlier era).

92times drawn · chance expected 88 +0.48σ

7draws waiting · a wait this long: 46% for any number

7.8average wait between appearances · chance says 8.2

36longest completed wait · 62% chance of one at least that long

40 is drawn as often as chance explains

Drawn 92 times in 720 draws against 87.8 expected, +0.48σ. Each draw is independent: after 7 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 40, draw by draw

Drawn 92 times in 720 draws · average wait 7.8 draws · longest completed wait 36 · 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 40 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 smallest12 · chance 9.2
5th smallest80 · chance 82.8

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 9.2 shared draws, and the leaders are simply the ones that came out ahead this time.

21 33 34 6 22 38

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, 40 is picked about 0.90× as often as an indifferent choice — 32nd 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 above 31 ×0.86
Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 40 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-10	7	4th	8 9 29 40 41
2023-10-03	3	4th	15 18 36 40 41
2023-09-30	3	4th	10 30 38 40 41
2023-09-27	1	5th	8 21 25

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: 40 is drawn with probability 5/41 tonight whatever it did last week.

2023-06-27	13	5th	6 27 33 38 40
2023-06-14	33	5th	14 20 34 39 40
2023-05-12	4	5th	3 9 26 36 40
2023-05-08	6	5th	6 12 24 34 40
2023-05-02	3	5th	5 14 27 39 40
2023-04-29	9	5th	14 19 26 33 40
2023-04-20	30	5th	19 21 33 35 40
2023-03-21	1	5th	2 18 21 22 40
2023-03-20	1	5th	7 11 27 29 40
2023-03-19	24	5th	19 31 32 33 40
2023-02-23	14	5th	1 19 34 36 40
2023-02-09	1	5th	4 5 11 20 40
2023-02-08	25	5th	14 17 26 33 40
2023-01-14	1	5th	6 10 21 23 40
2023-01-13	3	5th	17 25 27 38 40
2023-01-10	9	4th	25 32 34 40 41
2023-01-01	1	5th	20 23 29 34 40
2021-12-31	20	5th	11 25 27 35 40
2021-12-11	1	5th	9 23 32 38 40
2021-12-10	2	5th	8 20 25 35 40
2021-12-08	8	5th	6 18 35 37 40
2021-11-30	8	5th	3 11 20 33 40
2021-11-22	10	5th	6 8 10 37 40
2021-11-12	3	5th	8 24 25 35 40
2021-11-09	3	5th	7 22 31 32 40
2021-11-06	1	5th	16 21 24 38 40
2021-11-05	2	5th	13 17 22 36 40
2021-11-03	3	5th	4 19 26 33 40
2021-10-31	18	4th	12 18 39 40 41
2021-10-13	13	5th	15 17 31 33 40
2021-09-30	3	5th	2 15 17 34 40
2021-09-27	16	5th	12 14 24 39 40
2021-09-11	10	5th	18 21 27 34 40
2021-09-01	36	5th	6 10 22 27 40
2021-07-27	27	5th	9 22 31 32 40
2021-06-30	3	5th	16 23 30 38 40
2021-06-27	1	5th	4 16 22 30 40
2021-06-26	13	5th	9 13 22 39 40
2021-06-13	9	5th	14 15 16 29 40
2021-06-04	4	5th	8 18 19 28 40
2021-05-31	5	5th	3 6 11 39 40
2021-05-26	4	5th	10 12 23 39 40
2021-05-22	1	4th	2 20 34 40 41
2021-05-21	3	5th	13 29 36 37 40
2021-05-18	3	5th	20 31 33 38 40
2021-05-15	16	5th	4 20 32 38 40
2021-04-29	10	4th	8 23 30 40 41
2021-04-19	3	4th	8 19 21 40 41
2021-04-16	2	5th	20 24 33 37 40
2021-04-14	19	5th	22 25 32 35 40
2021-03-26	4	4th	1 26 30 40 41
2021-03-22	11	4th	20 21 31 40 41
2021-03-11	3	5th	1 2 9 34 40
2021-03-08	7	5th	5 10 21 33 40
2021-03-01	9	5th	3 11 12 36 40
2021-02-20	23	5th	6 7 23 27 40
2021-01-28	2	5th	4 18 24 37 40
2021-01-26	11	5th	21 22 25 31 40
2021-01-15	3	5th	7 12 31 35 40
2021-01-12	3	5th	1 2 18 26 40
2021-01-09	15	5th	3 6 26 33 40
2020-12-25	4	5th	16 21 22 29 40
2020-12-21	11	5th	9 18 19 30 40
2020-12-10	17	4th	9 26 37 40 41
2020-11-23	5	5th	3 19 28 33 40
2020-11-18	17	5th	3 5 15 16 40
2020-11-01	4	5th	7 21 30 37 40
2020-10-28	—	5th	5 26 34 35 40