Number 23

In Cash 5 under the 5/39 · Nov 2012 – Apr 2014 rules — 527 draws, 5 from 1–39 (an earlier era).

68times drawn · chance expected 68 +0.06σ

4draws waiting · a wait this long: 66% for any number

7.8average wait between appearances · chance says 7.8

28longest completed wait · 81% chance of one at least that long

23 is drawn as often as chance explains

Drawn 68 times in 527 draws against 67.6 expected, +0.06σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 23, draw by draw

Drawn 68 times in 527 draws · average wait 7.8 draws · longest completed wait 28 · waiting 4 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 smallest1 · chance 1.7
2nd smallest13 · chance 11.3
3rd smallest30 · chance 25.5
4th smallest20 · chance 22.7
5th smallest4 · chance 6.7

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 7.2 shared draws, and the leaders are simply the ones that came out ahead this time.

33 19 20 31 37 38

It has shared a draw with every one of the other 38 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 39. 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
2014-04-11	8	3rd	8 14 23 25 36
2014-04-03	3	2nd	12 23 25 27 38
2014-03-31	5	3rd	6 21 23 38 39
2014-03-26	23	2nd	5 23 32

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 5/39 tonight whatever it did last week.

2013-11-02	17	3rd	4 9 23 33 34
2013-10-15	11	1st	23 31 32 33 39
2013-10-04	4	3rd	3 22 23 28 31
2013-09-30	3	4th	13 14 20 23 37
2013-09-27	13	3rd	1 21 23 25 26
2013-09-14	3	3rd	11 18 23 26 34
2013-09-11	1	2nd	20 23 29 31 37
2013-09-10	10	4th	15 18 21 23 24
2013-08-31	7	3rd	1 15 23 27 30
2013-08-24	26	5th	7 8 14 17 23
2013-07-29	7	4th	2 4 12 23 31
2013-07-22	15	3rd	12 21 23 26 28
2013-07-07	5	2nd	9 23 24 36 38
2013-07-02	25	3rd	10 13 23 34 39
2013-06-07	7	4th	9 10 18 23 29
2013-05-31	1	3rd	12 19 23 35 38
2013-05-30	11	2nd	17 23 25 29 38
2013-05-19	3	2nd	18 23 26 29 30
2013-05-16	2	2nd	3 23 28 31 38
2013-05-14	1	4th	1 2 6 23 37
2013-05-13	23	3rd	5 21 23 34 39
2013-04-20	12	5th	6 14 16 19 23
2013-04-08	8	4th	3 4 10 23 31
2013-03-31	10	2nd	13 23 33 34 37
2013-03-21	6	4th	6 7 13 23 33
2013-03-15	12	3rd	5 9 23 25 27
2013-03-03	16	3rd	9 11 23 27 37
2013-02-15	24	4th	3 11 19 23 28
2013-01-22	3	3rd	7 20 23 29 39
2013-01-19	9	4th	4 20 21 23 26
2013-01-10	2	4th	10 19 20 23 33
2013-01-08	1	4th	14 17 22 23 32
2013-01-07	5	4th	6 14 19 23 35
2013-01-02	9	3rd	1 6 23 35 39
2012-12-24	3	2nd	20 23 27 33 37
2012-12-21	3	3rd	3 16 23 28 30
2012-12-18	6	2nd	19 23 26 30 33
2012-12-12	7	3rd	4 12 23 25 28
2012-12-05	10	3rd	8 10 23 27 39
2012-11-25	13	4th	1 16 20 23 24
2012-11-12	4	3rd	4 22 23 27 34
2012-11-08	1	3rd	15 22 23 36 37
2012-11-07	2	4th	10 14 18 23 29
2012-11-05	—	4th	17 18 22 23 26