Number 2

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

87times drawn · chance expected 88 −0.09σ

3draws waiting · a wait this long: 77% for any number

8.2average wait between appearances · chance says 8.2

34longest completed wait · 69% chance of one at least that long

2 is drawn as often as chance explains

Drawn 87 times in 720 draws against 87.8 expected, −0.09σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 2, draw by draw

Drawn 87 times in 720 draws · average wait 8.2 draws · longest completed wait 34 · waiting 3 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 2 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 smallest76 · chance 78.3
2nd smallest11 · chance 8.7
3rd smallest0 · chance 0.0
4th smallest0 · chance 0.0
5th smallest0 · chance 0.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 8.7 shared draws, and the leaders are simply the ones that came out ahead this time.

9 25 27 21 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, 2 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 2 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-10-14	13	1st	2 18 27 31 32
2023-10-01	2	1st	2 25 27 37 38
2023-09-29	5	2nd	1 2 15 25 39
2023-09-24	4	1st	2 9 22

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

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