Number 20

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

88times drawn · chance expected 88 +0.02σ

8draws waiting · a wait this long: 40% for any number

7.8average wait between appearances · chance says 8.2

38longest completed wait · 51% chance of one at least that long

20 is drawn as often as chance explains

Drawn 88 times in 720 draws against 87.8 expected, +0.02σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 20, draw by draw

Drawn 88 times in 720 draws · average wait 7.8 draws · longest completed wait 38 · waiting 8 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 20 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 smallest9 · chance 5.8
2nd smallest20 · chance 24.3
3rd smallest33 · chance 34.6
4th smallest24 · chance 19.6
5th smallest2 · chance 3.7

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 8.8 shared draws, and the leaders are simply the ones that came out ahead this time.

24 14 33 7 8 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, 20 is picked about 1.28× as often as an indifferent choice — 13th 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
Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 20 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-09	7	3rd	5 8 20 33 34
2023-10-02	7	4th	8 18 19 20 30
2023-09-25	2	4th	4 17 18 20 37
2023-09-23	11	2nd	3 20 21

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

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