Number 20

In Cash 5 under the 5/41 · Apr 2014 – Jun 2017 rules — 1,156 draws, 5 from 1–41 (an earlier era).

140times drawn · chance expected 141 −0.09σ

17draws waiting · a wait this long: 12% for any number

8.1average wait between appearances · chance says 8.2

48longest completed wait · 27% chance of one at least that long

20 is drawn as often as chance explains

Drawn 140 times in 1,156 draws against 141.0 expected, −0.09σ. Each draw is independent: after 17 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 20, draw by draw

Drawn 140 times in 1,156 draws · average wait 8.1 draws · longest completed wait 48 · waiting 17 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 smallest13 · chance 9.2
2nd smallest48 · chance 38.7
3rd smallest53 · chance 55.0
4th smallest20 · chance 31.2
5th smallest6 · chance 5.9

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 14.0 shared draws, and the leaders are simply the ones that came out ahead this time.

41 12 15 25 37 33

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
2017-06-01	4	3rd	5 16 20 34 35
2017-05-28	1	4th	7 13 17 20 39
2017-05-27	5	3rd	6 15 20 25 41
2017-05-22	8	3rd	10 18 20

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.

2016-11-27	13	2nd	14 20 23 26 41
2016-11-14	3	3rd	8 12 20 22 36
2016-11-11	8	3rd	9 16 20 37 40
2016-11-03	5	2nd	17 20 21 22 36
2016-10-29	3	2nd	3 20 32 35 38
2016-10-26	6	3rd	7 16 20 25 37
2016-10-20	1	1st	20 24 25 37 38
2016-10-19	6	2nd	7 20 27 31 39
2016-10-13	27	4th	9 12 19 20 27
2016-09-16	5	2nd	5 20 22 26 38
2016-09-11	13	1st	20 21 31 33 37
2016-08-29	1	1st	20 27 28 37 38
2016-08-28	1	5th	3 7 9 10 20
2016-08-27	15	2nd	3 20 29 31 41
2016-08-12	6	2nd	19 20 24 38 41
2016-08-06	5	1st	20 30 31 33 37
2016-08-01	6	3rd	6 18 20 26 31
2016-07-26	1	1st	20 22 25 36 40
2016-07-25	1	2nd	17 20 24 25 26
2016-07-24	10	3rd	7 19 20 23 31
2016-07-14	8	4th	1 12 14 20 28
2016-07-06	21	3rd	5 12 20 29 30
2016-06-15	7	2nd	17 20 21 24 25
2016-06-08	2	3rd	12 16 20 22 29
2016-06-06	16	3rd	4 9 20 39 41
2016-05-21	7	2nd	11 20 26 32 41
2016-05-14	26	5th	2 8 15 16 20
2016-04-18	7	2nd	13 20 24 30 37
2016-04-11	2	3rd	1 5 20 23 30
2016-04-09	2	2nd	10 20 22 31 39
2016-04-07	2	2nd	13 20 28 29 38
2016-04-05	2	3rd	4 7 20 34 39
2016-04-03	18	3rd	10 15 20 25 35
2016-03-16	10	2nd	3 20 23 26 39
2016-03-06	8	3rd	8 14 20 32 38
2016-02-27	1	3rd	5 12 20 25 40
2016-02-26	32	2nd	8 20 21 27 29
2016-01-25	8	4th	5 12 15 20 24
2016-01-17	26	2nd	3 20 23 26 40
2015-12-22	2	3rd	1 12 20 31 33
2015-12-20	12	3rd	5 9 20 22 39
2015-12-08	5	4th	8 15 17 20 39
2015-12-03	3	3rd	11 15 20 34 37
2015-11-30	4	4th	2 8 10 20 30
2015-11-26	13	4th	2 10 12 20 39
2015-11-13	3	3rd	7 19 20 24 41
2015-11-10	8	2nd	14 20 25 32 37
2015-11-02	48	5th	2 6 7 15 20
2015-09-15	22	3rd	3 13 20 21 28
2015-08-24	3	3rd	1 13 20 37 40
2015-08-21	1	4th	13 14 15 20 39
2015-08-20	6	2nd	13 20 22 28 31
2015-08-14	7	2nd	13 20 21 22 27
2015-08-07	5	4th	5 15 16 20 26
2015-08-02	9	3rd	7 18 20 28 33
2015-07-24	3	2nd	11 20 30 35 41
2015-07-21	37	1st	20 35 37 39 41
2015-06-14	2	4th	8 13 18 20 36
2015-06-12	9	2nd	12 20 32 39 40
2015-06-03	3	3rd	3 12 20 28 29
2015-05-31	6	3rd	3 13 20 25 32
2015-05-25	7	3rd	8 10 20 33 36
2015-05-18	9	4th	5 12 17 20 28
2015-05-09	7	3rd	6 11 20 25 37
2015-05-01	8	2nd	4 20 28 32 41
2015-04-23	5	2nd	9 20 23 32 33
2015-04-18	8	3rd	10 15 20 32 33
2015-04-10	24	3rd	6 13 20 40 41
2015-03-17	5	3rd	1 3 20 24 38
2015-03-12	7	1st	20 23 32 37 41
2015-03-05	7	3rd	8 18 20 25 33
2015-02-26	9	2nd	15 20 21 28 32
2015-02-17	7	4th	3 4 11 20 41
2015-02-10	18	1st	20 21 31 37 39
2015-01-23	5	3rd	4 8 20 34 40
2015-01-18	9	1st	20 23 33 34 36
2015-01-09	4	3rd	9 12 20 34 36
2015-01-05	6	2nd	3 20 26 34 37
2014-12-30	12	3rd	5 16 20 29 39
2014-12-18	7	2nd	10 20 32 35 37
2014-12-11	1	3rd	1 8 20 23 41
2014-12-10	9	4th	2 7 10 20 29
2014-12-01	1	2nd	7 20 26 34 39
2014-11-30	17	2nd	8 20 25 36 38
2014-11-13	11	3rd	6 16 20 23 24
2014-11-02	3	2nd	15 20 23 25 28
2014-10-30	9	2nd	12 20 26 35 36
2014-10-21	2	3rd	9 12 20 22 29
2014-10-19	2	1st	20 24 25 28 41
2014-10-17	2	2nd	5 20 32 36 37
2014-10-15	1	4th	7 8 17 20 27
2014-10-14	17	4th	9 15 18 20 31
2014-09-27	11	5th	1 11 12 13 20
2014-09-16	3	2nd	12 20 22 34 38
2014-09-13	4	2nd	10 20 21 25 34
2014-09-09	6	2nd	11 20 23 33 36
2014-09-03	4	3rd	3 13 20 21 24
2014-08-30	10	4th	5 7 16 20 33
2014-08-20	2	3rd	1 4 20 22 41
2014-08-18	19	3rd	5 14 20 21 35
2014-07-30	3	2nd	12 20 34 38 39
2014-07-27	6	2nd	19 20 27 28 29
2014-07-21	5	1st	20 26 27 28 41
2014-07-16	13	3rd	3 8 20 36 40
2014-07-03	1	3rd	9 15 20 31 35
2014-07-02	6	2nd	2 20 30 31 38
2014-06-26	3	3rd	3 13 20 34 41
2014-06-23	7	2nd	8 20 23 25 38
2014-06-16	11	3rd	6 13 20 33 37
2014-06-05	5	2nd	1 20 24 27 38
2014-05-31	8	3rd	16 19 20 29 35
2014-05-23	4	4th	2 14 19 20 24
2014-05-19	9	4th	1 12 16 20 34
2014-05-10	9	3rd	7 13 20 29 31
2014-05-01	7	3rd	10 16 20 23 33
2014-04-24	—	2nd	9 20 25 26 28