Number 10

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

76times drawn · chance expected 88 −1.34σ

12draws waiting · a wait this long: 24% for any number

9.4average wait between appearances · chance says 8.2

29longest completed wait · 86% chance of one at least that long

10 is drawn as often as chance explains

Drawn 76 times in 720 draws against 87.8 expected, −1.34σ. Each draw is independent: after 12 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 10, draw by draw

Drawn 76 times in 720 draws · average wait 9.4 draws · longest completed wait 29 · waiting 12 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 10 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.

1st smallest28 · chance 26.2
2nd smallest30 · chance 33.6
3rd smallest16 · chance 13.9
4th smallest2 · chance 2.2
5th smallest0 · chance 0.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 7.6 shared draws, and the leaders are simply the ones that came out ahead this time.

39 21 24 8 37 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, 10 is picked about 1.41× as often as an indifferent choice — 5th 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
Numbers 1–12 — day and month overlap ×1.10
Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 10 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-05	5	4th	1 6 8 10 13
2023-09-30	2	1st	10 30 38 40 41
2023-09-28	9	2nd	9 10 12 14 27
2023-09-19	11	3rd	3 7 10

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

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