Number 3

In Cash 5 under the 5/41 · May 2016 – Nov 2018 rules — 897 draws, 5 from 1–41 (an earlier era).

106times drawn · chance expected 109 −0.35σ

15draws waiting · a wait this long: 16% for any number

8.4average wait between appearances · chance says 8.2

32longest completed wait · 85% chance of one at least that long

3 is drawn as often as chance explains

Drawn 106 times in 897 draws against 109.4 expected, −0.35σ. Each draw is independent: after 15 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 3, draw by draw

Drawn 106 times in 897 draws · average wait 8.4 draws · longest completed wait 32 · waiting 15 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 3 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 smallest93 · chance 85.6
2nd smallest13 · chance 19.6
3rd smallest0 · chance 0.8
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 10.6 shared draws, and the leaders are simply the ones that came out ahead this time.

6 5 10 19 37 4

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, 3 is picked about 1.48× as often as an indifferent choice — 2nd 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
Culturally lucky numbers 3, 8, 9 ×1.10

The model and its sources → · What people believe about 3 →

Every draw it appeared in

Date	Wait	Position	The draw
2018-10-19	19	1st	3 7 8 17 21
2018-09-30	2	1st	3 13 24 26 29
2018-09-28	12	1st	3 11 22 35 40
2018-09-16	1	1st	3 5 6

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

2018-04-22	13	1st	3 8 23 26 33
2018-04-09	1	1st	3 9 22 29 32
2018-04-08	8	1st	3 4 14 33 41
2018-03-31	15	1st	3 8 9 28 37
2018-03-16	23	1st	3 11 13 29 34
2018-02-21	26	1st	3 7 8 19 25
2018-01-26	6	1st	3 7 27 34 39
2018-01-20	3	1st	3 5 6 13 41
2018-01-17	6	1st	3 4 5 10 38
2018-01-11	5	1st	3 10 11 13 33
2018-01-06	7	1st	3 21 23 33 34
2017-12-30	14	1st	3 4 11 13 18
2017-12-16	20	1st	3 5 9 10 26
2017-11-26	1	1st	3 8 17 36 40
2017-11-25	22	1st	3 12 17 27 41
2017-11-03	2	1st	3 5 10 14 41
2017-11-01	1	1st	3 6 20 23 30
2017-10-31	5	1st	3 4 9 20 33
2017-10-26	2	1st	3 4 7 20 28
2017-10-24	1	1st	3 12 21 35 40
2017-10-23	8	1st	3 4 8 10 31
2017-10-14	32	1st	3 4 5 16 22
2017-09-11	3	1st	3 6 22 23 26
2017-09-08	11	1st	3 6 12 20 37
2017-08-28	8	1st	3 11 20 26 27
2017-08-20	8	1st	3 4 7 17 40
2017-08-12	7	1st	3 10 19 28 37
2017-08-05	13	2nd	2 3 14 35 38
2017-07-23	7	1st	3 5 18 19 37
2017-07-16	1	1st	3 10 22 30 40
2017-07-15	3	1st	3 12 13 16 27
2017-07-12	8	1st	3 9 26 32 33
2017-07-04	23	1st	3 19 23 27 36
2017-06-11	3	1st	3 7 9 10 28
2017-06-08	2	1st	3 23 24 27 37
2017-06-06	9	1st	3 5 15 25 34
2017-05-28	1	1st	3 12 13 27 34
2017-05-27	17	1st	3 6 16 24 28
2017-05-10	12	1st	3 11 20 21 26
2017-04-28	6	1st	3 6 10 27 38
2017-04-22	4	1st	3 8 16 22 34
2017-04-18	12	1st	3 11 25 27 37
2017-04-05	2	2nd	1 3 8 25 34
2017-04-02	2	2nd	1 3 11 15 26
2017-03-31	11	1st	3 4 19 31 35
2017-03-20	21	1st	3 10 16 25 34
2017-02-27	2	1st	3 6 14 19 32
2017-02-25	8	1st	3 4 14 18 29
2017-02-17	12	1st	3 13 19 26 37
2017-02-05	3	1st	3 4 30 33 40
2017-02-02	11	1st	3 5 6 33 40
2017-01-22	12	2nd	1 3 4 6 23
2017-01-10	1	1st	3 16 18 28 31
2017-01-09	5	1st	3 24 31 33 37
2017-01-04	18	1st	3 7 17 30 36
2016-12-17	1	2nd	2 3 6 18 28
2016-12-16	1	1st	3 6 20 22 26
2016-12-15	11	1st	3 4 9 24 27
2016-12-04	4	1st	3 10 18 19 40
2016-11-30	4	1st	3 14 19 23 38
2016-11-26	5	1st	3 5 10 15 35
2016-11-21	2	1st	3 10 16 28 39
2016-11-19	6	2nd	2 3 25 34 41
2016-11-13	6	1st	3 14 15 24 29
2016-11-07	4	2nd	2 3 22 24 40
2016-11-03	25	1st	3 8 21 30 35
2016-10-09	28	1st	3 6 9 17 28
2016-09-11	4	1st	3 11 17 24 30
2016-09-07	6	1st	3 17 26 33 38
2016-09-01	19	1st	3 11 17 19 41
2016-08-13	22	1st	3 6 23 34 38
2016-07-22	22	2nd	1 3 6 12 15
2016-06-30	8	1st	3 7 10 23 37
2016-06-22	2	2nd	1 3 19 36 38
2016-06-20	4	2nd	2 3 27 39 41
2016-06-16	1	1st	3 11 27 31 37
2016-06-15	2	1st	3 25 26 29 32
2016-06-13	6	1st	3 18 28 31 32
2016-06-07	3	1st	3 8 9 21 26
2016-06-04	12	1st	3 5 15 31 37
2016-05-23	2	1st	3 5 19 37 39
2016-05-21	—	1st	3 7 8 17 24