Number 23

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

81times drawn · chance expected 88 −0.77σ

5draws waiting · a wait this long: 59% for any number

8.8average wait between appearances · chance says 8.2

39longest completed wait · 44% chance of one at least that long

23 is drawn as often as chance explains

Drawn 81 times in 720 draws against 87.8 expected, −0.77σ. Each draw is independent: after 5 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 23, draw by draw

Drawn 81 times in 720 draws · average wait 8.8 draws · longest completed wait 39 · 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 23 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 smallest7 · chance 2.7
2nd smallest15 · chance 15.9
3rd smallest27 · chance 31.3
4th smallest25 · chance 24.6
5th smallest7 · chance 6.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 8.1 shared draws, and the leaders are simply the ones that came out ahead this time.

6 25 32 30 14 34

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, 23 is picked about 1.22× as often as an indifferent choice — 15th 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

The model and its sources → · What people believe about 23 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-12	20	3rd	14 22 23 25 28
2023-09-22	13	3rd	18 22 23 29 39
2023-09-09	6	1st	23 28 34 39 40
2023-09-03	2	4th	4 16 20

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

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