Number 13

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

73times drawn · chance expected 88 −1.69σ

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

9.7average wait between appearances · chance says 8.2

43longest completed wait · 26% chance of one at least that long

13 is drawn as often as chance explains

Drawn 73 times in 720 draws against 87.8 expected, −1.69σ. Each draw is independent: after 12 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 13, draw by draw

Drawn 73 times in 720 draws · average wait 9.7 draws · longest completed wait 43 · 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 13 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 smallest23 · chance 16.4
2nd smallest18 · chance 31.4
3rd smallest27 · chance 19.9
4th smallest4 · chance 4.9
5th smallest1 · chance 0.4

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 7.3 shared draws, and the leaders are simply the ones that came out ahead this time.

41 31 6 3 5 39

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, 13 is picked about 0.92× as often as an indifferent choice — 31st 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 number 13, in Western markets ×0.75

The model and its sources → · What people believe about 13 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-05	1	5th	1 6 8 10 13
2023-10-04	13	1st	13 22 26 33 38
2023-09-21	9	3rd	4 7 13 28 41
2023-09-12	21	1st	13 20 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: 13 is drawn with probability 5/41 tonight whatever it did last week.

2023-03-11	8	1st	13 15 30 31 33
2023-03-03	2	2nd	6 13 19 23 29
2023-03-01	3	2nd	7 13 16 28 39
2023-02-26	7	3rd	1 5 13 25 38
2023-02-19	3	2nd	12 13 20 22 31
2023-02-16	16	3rd	2 3 13 22 36
2023-01-31	2	3rd	2 3 13 25 36
2023-01-29	2	2nd	4 13 27 31 39
2023-01-27	10	3rd	1 5 13 21 38
2023-01-17	27	1st	13 24 27 30 36
2021-12-21	9	1st	13 21 27 32 37
2021-12-12	6	4th	1 6 10 13 41
2021-12-06	5	3rd	3 10 13 36 41
2021-12-01	3	2nd	6 13 23 25 28
2021-11-28	2	2nd	9 13 24 34 35
2021-11-26	21	2nd	6 13 19 26 38
2021-11-05	11	1st	13 17 22 36 40
2021-10-25	17	3rd	3 11 13 16 23
2021-10-08	16	2nd	11 13 32 37 41
2021-09-22	4	3rd	4 5 13 15 18
2021-09-18	13	3rd	9 11 13 14 34
2021-09-05	2	2nd	6 13 37 38 41
2021-09-03	5	3rd	1 10 13 21 23
2021-08-29	5	3rd	4 12 13 25 29
2021-08-24	1	2nd	11 13 18 20 31
2021-08-23	9	1st	13 19 23 27 32
2021-08-14	6	1st	13 14 19 21 33
2021-08-08	24	3rd	4 5 13 17 24
2021-07-15	17	3rd	4 10 13 26 37
2021-06-28	2	1st	13 19 23 24 28
2021-06-26	10	2nd	9 13 22 39 40
2021-06-16	2	3rd	6 7 13 27 39
2021-06-14	7	1st	13 14 32 34 35
2021-06-07	4	3rd	4 10 13 23 28
2021-06-03	6	3rd	2 4 13 18 36
2021-05-28	4	2nd	12 13 19 33 41
2021-05-24	1	2nd	3 13 14 16 31
2021-05-23	2	1st	13 26 33 39 41
2021-05-21	2	1st	13 29 36 37 40
2021-05-19	29	3rd	3 5 13 37 41
2021-04-20	2	3rd	1 5 13 20 34
2021-04-18	3	3rd	1 11 13 31 35
2021-04-15	14	2nd	5 13 15 25 39
2021-04-01	43	1st	13 16 18 31 34
2021-02-17	23	1st	13 15 21 32 34
2021-01-25	24	3rd	1 5 13 15 25
2021-01-01	33	1st	13 16 17 21 32
2020-11-29	23	3rd	3 11 13 22 39
2020-11-06	—	3rd	1 9 13 30 31