Number 31

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).

141times drawn · chance expected 145 −0.33σ

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

8.9average wait between appearances · chance says 8.8

51longest completed wait · 28% chance of one at least that long

31 is drawn as often as chance explains

Drawn 141 times in 1,266 draws against 144.7 expected, −0.33σ. Each draw is independent: after 16 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 141 times in 1,266 draws · average wait 8.9 draws · longest completed wait 51 · 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 31 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 smallest0 · chance 0.1
2nd smallest6 · chance 4.2
3rd smallest47 · chance 41.0
4th smallest88 · chance 95.7

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 12.4 shared draws, and the leaders are simply the ones that came out ahead this time.

13 32 1 4 8 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, 31 is picked about 1.22× as often as an indifferent choice — 15th 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

The model and its sources → · What people believe about 31 →

Every draw it appeared in

Date	Wait	Position	The draw
2021-12-27	3	3rd	13 20 31 33
2021-12-16	3	3rd	1 28 31 32
2021-12-06	20	3rd	5 13 31 33
2021-09-27	24	4th	4 8 25 31

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: 31 is drawn with probability 4/35 tonight whatever it did last week.

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