Number 20

In Megabucks Plus under the 5/41 · Apr 2010 – Apr 2022 rules — 1,257 draws, 5 from 1–41 (an earlier era).

148times drawn · chance expected 153 −0.46σ

11draws waiting · a wait this long: 27% for any number

8.4average wait between appearances · chance says 8.2

39longest completed wait · 65% chance of one at least that long

20 is drawn as often as chance explains

Drawn 148 times in 1,257 draws against 153.3 expected, −0.46σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 20, draw by draw

Drawn 148 times in 1,257 draws · average wait 8.4 draws · longest completed wait 39 · waiting 11 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 9.7
2nd smallest44 · chance 40.9
3rd smallest62 · chance 58.2
4th smallest27 · chance 33.0
5th smallest2 · chance 6.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 14.8 shared draws, and the leaders are simply the ones that came out ahead this time.

27 26 33 8 11 25

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
2022-03-16	19	3rd	7 18 20 29 33
2022-01-08	3	2nd	11 20 31 32 37
2021-12-29	4	2nd	7 20 24 30 39
2021-12-15	1	3rd	4

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.

2020-04-22	39	3rd	7 17 20 24 26
2019-12-07	10	2nd	2 20 22 30 33
2019-11-02	7	2nd	2 20 29 39 40
2019-10-09	4	2nd	6 20 24 25 41
2019-09-25	1	2nd	10 20 27 34 36
2019-09-21	10	4th	11 16 17 20 41
2019-08-17	1	4th	4 10 13 20 41
2019-08-14	1	2nd	8 20 23 31 39
2019-08-10	1	2nd	8 20 23 31 39
2019-08-07	11	3rd	5 6 20 22 37
2019-06-29	5	3rd	5 7 20 21 27
2019-06-12	3	2nd	12 20 30 39 40
2019-06-01	6	3rd	8 16 20 29 40
2019-05-11	7	4th	7 14 16 20 36
2019-04-17	8	3rd	3 6 20 31 32
2019-03-20	11	5th	5 6 14 17 20
2019-02-09	19	4th	3 4 8 20 27
2018-12-05	13	3rd	1 3 20 30 36
2018-10-20	7	4th	4 7 10 20 36
2018-09-26	2	4th	3 4 10 20 36
2018-09-19	4	3rd	6 11 20 28 41
2018-09-05	7	2nd	13 20 27 33 38
2018-08-11	1	3rd	2 11 20 21 40
2018-08-08	1	3rd	5 17 20 27 28
2018-08-04	7	2nd	13 20 32 33 37
2018-07-11	8	3rd	10 14 20 26 36
2018-06-13	8	3rd	13 15 20 26 33
2018-05-16	4	3rd	3 18 20 25 31
2018-05-02	15	4th	7 14 19 20 25
2018-03-10	11	3rd	2 12 20 28 41
2018-01-31	9	1st	20 23 29 33 39
2017-12-30	3	2nd	17 20 24 34 37
2017-12-20	3	3rd	2 16 20 21 38
2017-12-09	31	2nd	11 20 21 25 32
2017-08-23	1	2nd	4 20 23 35 37
2017-08-19	2	3rd	5 9 20 28 33
2017-08-12	4	1st	20 21 29 30 33
2017-07-29	19	4th	11 12 14 20 30
2017-05-24	21	1st	20 23 25 27 35
2017-03-11	3	2nd	8 20 31 33 36
2017-03-01	11	3rd	3 6 20 26 34
2017-01-21	12	3rd	4 11 20 25 35
2016-12-10	19	3rd	1 12 20 29 39
2016-10-05	13	3rd	6 13 20 23 24
2016-08-20	5	2nd	1 20 33 34 39
2016-08-03	13	3rd	3 9 20 30 33
2016-06-18	3	5th	2 3 13 15 20
2016-06-08	11	3rd	11 13 20 21 28
2016-04-30	17	2nd	6 20 25 35 38
2016-03-02	36	3rd	1 19 20 29 39
2015-10-28	1	3rd	4 14 20 26 30
2015-10-24	7	2nd	17 20 26 27 29
2015-09-30	9	2nd	17 20 23 27 32
2015-08-29	4	3rd	5 19 20 29 31
2015-08-15	3	3rd	14 16 20 30 38
2015-08-05	6	3rd	14 18 20 37 39
2015-07-15	9	4th	7 10 18 20 32
2015-06-13	7	3rd	16 17 20 21 28
2015-05-20	5	4th	3 5 8 20 26
2015-05-02	12	3rd	18 19 20 31 38
2015-03-21	1	3rd	10 13 20 38 40
2015-03-18	16	3rd	5 16 20 29 30
2015-01-21	3	2nd	10 20 26 34 37
2015-01-10	32	1st	20 21 26 34 38
2014-09-20	10	4th	2 3 5 20 26
2014-08-16	6	2nd	7 20 24 25 40
2014-07-26	23	4th	8 18 19 20 34
2014-05-07	7	2nd	6 20 21 24 41
2014-04-12	14	4th	2 11 17 20 26
2014-02-22	2	2nd	3 20 36 38 39
2014-02-15	9	1st	20 25 27 31 33
2014-01-15	3	2nd	8 20 33 37 40
2014-01-04	2	1st	20 27 33 35 40
2013-12-28	3	3rd	10 19 20 25 27
2013-12-18	15	3rd	6 11 20 30 31
2013-10-26	4	1st	20 21 27 29 37
2013-10-12	3	3rd	13 15 20 25 37
2013-10-02	4	1st	20 21 28 33 35
2013-09-18	25	4th	7 9 11 20 27
2013-06-22	10	1st	20 24 25 26 27
2013-05-18	3	3rd	4 14 20 28 30
2013-05-08	4	2nd	3 20 29 38 39
2013-04-24	14	2nd	11 20 26 35 36
2013-03-06	8	2nd	8 20 21 31 36
2013-02-06	1	2nd	8 20 21 26 31
2013-02-02	10	4th	4 16 19 20 29
2012-12-29	1	3rd	7 19 20 23 27
2012-12-26	4	3rd	5 9 20 22 32
2012-12-12	3	4th	2 7 11 20 31
2012-12-01	19	4th	2 12 16 20 23
2012-09-26	1	3rd	6 12 20 21 33
2012-09-22	10	3rd	8 19 20 28 39
2012-08-18	9	2nd	9 20 22 32 41
2012-07-14	1	3rd	8 9 20 21 41
2012-07-11	3	1st	20 24 32 36 38
2012-06-30	6	3rd	16 18 20 22 36
2012-06-09	14	3rd	5 11 20 28 41
2012-04-21	12	3rd	12 15 20 23 38
2012-03-10	19	2nd	14 20 27 28 36
2012-01-04	3	2nd	15 20 25 31 37
2011-12-24	12	4th	3 6 10 20 25
2011-11-12	1	3rd	1 8 20 26 35
2011-11-09	1	3rd	12 17 20 28 34
2011-11-05	3	3rd	9 11 20 21 25
2011-10-26	9	2nd	10 20 30 31 33
2011-09-24	4	2nd	19 20 28 32 34
2011-09-10	2	4th	2 8 17 20 38
2011-09-03	4	2nd	2 20 27 31 38
2011-08-20	18	3rd	8 15 20 26 32
2011-06-18	7	2nd	12 20 26 27 41
2011-05-25	11	3rd	12 17 20 27 34
2011-04-16	14	1st	20 24 26 27 36
2011-02-26	1	3rd	4 5 20 33 40
2011-02-23	38	3rd	12 19 20 38 40
2010-10-13	5	3rd	3 13 20 27 34
2010-09-25	11	4th	5 8 15 20 34
2010-08-18	1	4th	6 9 11 20 23
2010-08-14	2	2nd	2 20 23 25 32
2010-08-07	1	3rd	1 3 20 21 26
2010-08-04	3	4th	8 9 12 20 35
2010-07-24	8	4th	6 15 18 20 38
2010-06-26	9	1st	20 27 28 30 38
2010-05-26	8	2nd	4 20 27 34 36
2010-04-28	—	3rd	5 9 20 28 39