Number 31

In Fantasy 5 under the 5/39 · Jan 2010 – Oct 2015 rules — 2,098 draws, 5 from 1–39 (an earlier era).

257times drawn · chance expected 269 −0.78σ

8draws waiting · a wait this long: 38% for any number

8.1average wait between appearances · chance says 7.8

39longest completed wait · 75% chance of one at least that long

31 is drawn as often as chance explains

Drawn 257 times in 2,098 draws against 269.0 expected, −0.78σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 257 times in 2,098 draws · average wait 8.1 draws · longest completed wait 39 · waiting 8 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 smallest1 · chance 0.2
2nd smallest2 · chance 5.8
3rd smallest33 · chance 42.4
4th smallest109 · chance 113.1
5th smallest112 · chance 95.4

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 27.1 shared draws, and the leaders are simply the ones that came out ahead this time.

18 16 17 2 6 12

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, 31 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 31 →

Every draw it appeared in

Date	Wait	Position	The draw
2015-09-25	6	4th	6 9 14 31 39
2015-09-19	7	4th	15 16 27 31 36
2015-09-12	5	5th	14 27 28 29 31
2015-09-07	6	4th	9 17

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 5/39 tonight whatever it did last week.

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