Number 20

In Texas Two Step under the 4/35 + 1/35 · Jan 2010 – Feb 2022 rules — 1,266 draws, 4 from 1–35 (an earlier era).

145times drawn · chance expected 145 +0.03σ

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

8.6average wait between appearances · chance says 8.8

59longest completed wait · 12% chance of one at least that long

20 is drawn as often as chance explains

Drawn 145 times in 1,266 draws against 144.7 expected, +0.03σ. Each draw is independent: after 16 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 20, draw by draw

Drawn 145 times in 1,266 draws · average wait 8.6 draws · longest completed wait 59 · waiting 16 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 large number the high positions more often. That is the shape of sorting, not of the machine.

1st smallest4 · chance 11.0
2nd smallest58 · chance 48.3
3rd smallest63 · chance 62.2
4th smallest20 · chance 23.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 12.8 shared draws, and the leaders are simply the ones that came out ahead this time.

3 8 16 25 4 2

It has shared a draw with every one of the other 34 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 35. 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
2021-12-27	13	2nd	13 20 31 33
2021-11-11	7	3rd	2 7 20 24
2021-10-18	2	3rd	5 17 20 32
2021-10-11	26	3rd	4 19 20 30

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 4/35 tonight whatever it did last week.

2019-11-07	6	2nd	5 20 26 27
2019-10-17	1	2nd	9 20 23 32
2019-10-14	1	4th	2 4 12 20
2019-10-10	16	2nd	8 20 22 35
2019-08-15	11	2nd	4 20 26 32
2019-07-08	18	2nd	7 20 28 29
2019-05-06	3	3rd	1 6 20 25
2019-04-25	8	3rd	6 14 20 28
2019-03-28	17	3rd	8 12 20 21
2019-01-28	1	2nd	3 20 24 35
2019-01-24	2	2nd	1 20 22 26
2019-01-17	13	2nd	16 20 26 31
2018-12-03	10	2nd	16 20 29 34
2018-10-29	17	4th	6 12 17 20
2018-08-30	23	3rd	12 13 20 33
2018-06-11	10	2nd	2 20 23 29
2018-05-07	2	3rd	10 17 20 21
2018-04-30	6	3rd	3 14 20 25
2018-04-09	15	3rd	2 4 20 24
2018-02-12	6	2nd	2 20 27 33
2018-01-22	9	3rd	2 19 20 33
2017-12-21	3	2nd	8 20 25 26
2017-12-11	2	2nd	4 20 25 28
2017-12-04	29	3rd	7 19 20 31
2017-08-24	10	3rd	1 16 20 21
2017-07-20	4	2nd	16 20 27 28
2017-07-06	4	3rd	6 16 20 34
2017-06-22	17	3rd	2 12 20 27
2017-04-24	2	2nd	11 20 25 27
2017-04-17	7	3rd	3 8 20 35
2017-03-23	16	2nd	5 20 22 34
2017-01-26	10	2nd	3 20 23 27
2016-12-22	5	3rd	15 17 20 33
2016-12-05	8	3rd	10 17 20 25
2016-11-07	1	3rd	9 19 20 31
2016-11-03	11	1st	20 23 28 33
2016-09-26	1	2nd	18 20 34 35
2016-09-22	16	2nd	4 20 30 32
2016-07-28	10	3rd	8 16 20 33
2016-06-23	4	2nd	19 20 21 28
2016-06-09	16	2nd	8 20 24 26
2016-04-14	5	3rd	13 16 20 30
2016-03-28	13	3rd	1 7 20 30
2016-02-11	5	4th	1 3 6 20
2016-01-25	12	2nd	16 20 26 29
2015-12-14	5	3rd	4 14 20 22
2015-11-26	2	2nd	13 20 30 34
2015-11-19	1	3rd	10 17 20 31
2015-11-16	15	4th	3 17 19 20
2015-09-24	13	3rd	16 19 20 23
2015-08-10	7	4th	3 5 6 20
2015-07-16	4	2nd	3 20 28 34
2015-07-02	13	3rd	2 7 20 26
2015-05-18	4	3rd	8 9 20 24
2015-05-04	59	3rd	9 16 20 26
2014-10-09	28	2nd	3 20 22 30
2014-07-03	1	3rd	2 15 20 22
2014-06-30	17	3rd	9 10 20 28
2014-05-01	13	3rd	2 17 20 24
2014-03-17	7	3rd	11 16 20 32
2014-02-20	1	3rd	5 6 20 32
2014-02-17	4	3rd	10 18 20 30
2014-02-03	1	2nd	1 20 25 34
2014-01-30	12	3rd	8 11 20 29
2013-12-19	4	3rd	9 15 20 30
2013-12-05	2	3rd	12 17 20 34
2013-11-28	9	2nd	9 20 27 31
2013-10-28	4	4th	3 6 15 20
2013-10-14	14	2nd	5 20 21 28
2013-08-26	5	4th	3 5 15 20
2013-08-08	3	4th	4 15 18 20
2013-07-29	1	3rd	2 18 20 24
2013-07-25	8	2nd	13 20 23 35
2013-06-27	7	3rd	8 18 20 25
2013-06-03	4	3rd	6 18 20 34
2013-05-20	4	4th	3 5 11 20
2013-05-06	2	2nd	3 20 21 22
2013-04-29	23	2nd	10 20 32 33
2013-02-07	9	2nd	4 20 25 33
2013-01-07	16	3rd	2 8 20 23
2012-11-12	5	3rd	14 19 20 21
2012-10-25	1	2nd	8 20 28 35
2012-10-22	2	3rd	2 12 20 25
2012-10-15	8	4th	3 8 15 20
2012-09-17	1	3rd	9 17 20 23
2012-09-13	6	3rd	6 15 20 31
2012-08-23	1	2nd	13 20 31 33
2012-08-20	6	2nd	10 20 28 32
2012-07-30	5	2nd	19 20 21 33
2012-07-12	5	3rd	14 16 20 26
2012-06-25	6	4th	2 6 19 20
2012-06-04	15	3rd	8 19 20 34
2012-04-12	12	3rd	3 4 20 24
2012-03-01	16	2nd	9 20 31 34
2012-01-05	5	2nd	5 20 23 28
2011-12-19	1	3rd	1 12 20 33
2011-12-15	2	2nd	8 20 29 30
2011-12-08	2	3rd	13 18 20 32
2011-12-01	25	3rd	17 18 20 33
2011-09-05	14	4th	1 3 4 20
2011-07-18	5	2nd	4 20 27 29
2011-06-30	17	2nd	8 20 21 32
2011-05-02	14	2nd	19 20 21 22
2011-03-14	21	2nd	11 20 23 31
2010-12-30	2	3rd	4 7 20 31
2010-12-23	4	1st	20 21 25 26
2010-12-09	17	3rd	1 6 20 22
2010-10-11	5	2nd	5 20 22 23
2010-09-23	8	2nd	8 20 26 33
2010-08-26	2	3rd	9 10 20 30
2010-08-19	11	4th	11 14 16 20
2010-07-12	4	3rd	4 8 20 31
2010-06-28	7	2nd	11 20 25 27
2010-06-03	8	2nd	16 20 22 25
2010-05-06	2	4th	7 18 19 20
2010-04-29	12	4th	6 11 12 20
2010-03-18	2	1st	20 24 32 34
2010-03-11	4	2nd	18 20 22 31
2010-02-25	1	2nd	2 20 22 25
2010-02-22	2	3rd	1 2 20 30
2010-02-15	—	2nd	4 20 28 32