Number 12

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

96times drawn · chance expected 88 +0.93σ

11draws waiting · a wait this long: 27% for any number

7.4average wait between appearances · chance says 8.2

40longest completed wait · 45% chance of one at least that long

12 is drawn as often as chance explains

Drawn 96 times in 720 draws against 87.8 expected, +0.93σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 12, draw by draw

Drawn 96 times in 720 draws · average wait 7.4 draws · longest completed wait 40 · waiting 11 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 12 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 smallest21 · chance 24.9
2nd smallest42 · chance 42.2
3rd smallest27 · chance 23.5
4th smallest6 · chance 5.0
5th smallest0 · chance 0.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 9.6 shared draws, and the leaders are simply the ones that came out ahead this time.

3 39 32 24 29 31

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, 12 is picked about 1.34× as often as an indifferent choice — 6th 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

The model and its sources → · What people believe about 12 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-06	8	3rd	1 5 12 17 29
2023-09-28	10	3rd	9 10 12 14 27
2023-09-18	3	2nd	5 12 17 24 33
2023-09-15	18	2nd	3 12 16

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

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