Number 31

In SuperEnalotto under the 6/90 + 1/90 · Dec 1997 – Jul 2009 rules — 1,425 draws, 6 from 1–90 (an earlier era).

87times drawn · chance expected 95 −0.85σ

5draws waiting · a wait this long: 76% for any number

16.1average wait between appearances · chance says 15.0

67longest completed wait · 60% chance of one at least that long

31 is drawn as often as chance explains

Drawn 87 times in 1,425 draws against 95.0 expected, −0.85σ. Each draw is independent: after 5 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 14 times, counted separately.

Number 31, draw by draw

Drawn 87 times in 1,425 draws · average wait 16.1 draws · longest completed wait 67 · waiting 5 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 small number the low positions more often. That is the shape of sorting, not of the machine.

1st smallest5 · chance 10.5
2nd smallest36 · chance 28.6
3rd smallest24 · chance 29.6
4th smallest19 · chance 14.6
5th smallest3 · chance 3.4
6th smallest0 · chance 0.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 4.9 shared draws, and the leaders are simply the ones that came out ahead this time.

17 81 1 2 13 25

It has shared a draw with every one of the other 89 numbers; chance expected about 0.7 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 90. 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
2009-06-18	8	3rd	15 27 31 52 74 77
2009-05-30	10	4th	1 13 17 31 58 62
2009-05-07	2	1st	31 43 67 69 76 80

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 6/90 tonight whatever it did last week.

2007-11-03	1	2nd	11 31 44 64 83 89
2007-11-02	23	2nd	29 31 51 60 72 73
2007-09-08	23	2nd	9 31 32 47 70 89
2007-07-17	21	2nd	23 31 62 65 69 89
2007-05-29	1	4th	1 16 17 31 42 70
2007-05-26	41	2nd	5 31 62 63 68 78
2007-02-20	29	3rd	19 25 31 56 82 90
2006-12-14	3	2nd	1 31 48 75 78 81
2006-12-07	3	3rd	4 19 31 51 56 57
2006-11-30	35	2nd	1 31 51 73 77 88
2006-09-09	17	4th	7 10 24 31 81 84
2006-08-01	9	1st	31 37 45 52 74 83
2006-07-11	12	5th	2 12 19 25 31 76
2006-06-13	3	4th	10 13 21 31 48 72
2006-06-06	10	2nd	29 31 41 44 64 73
2006-05-13	21	2nd	11 31 38 50 59 62
2006-03-25	9	4th	16 20 29 31 38 45
2006-03-04	20	4th	17 27 29 31 44 46
2006-01-17	1	3rd	26 27 31 69 78 85
2006-01-14	11	2nd	30 31 33 44 77 89
2005-12-20	12	3rd	1 17 31 39 49 71
2005-11-22	9	3rd	4 16 31 54 70 87
2005-11-02	24	2nd	5 31 57 66 81 85
2005-09-06	40	3rd	13 22 31 54 55 87
2005-05-28	8	5th	2 3 10 15 31 61
2005-04-30	15	2nd	16 31 53 63 70 81
2005-03-09	2	2nd	26 31 50 71 85 87
2005-03-02	13	2nd	15 31 62 68 72 73
2005-01-15	20	2nd	14 31 34 78 89 90
2004-11-06	31	4th	13 18 21 31 41 56
2004-07-21	12	3rd	8 13 31 42 58 88
2004-06-09	46	4th	1 2 26 31 42 64
2003-12-31	12	3rd	3 15 31 36 43 82
2003-11-19	67	4th	2 11 23 31 40 86
2003-03-29	14	2nd	1 31 54 80 81 85
2003-02-08	12	3rd	3 14 31 32 64 79
2002-12-31	6	2nd	24 31 37 45 71 81
2002-12-17	3	4th	5 27 30 31 34 86
2002-12-10	2	2nd	22 31 63 76 78 79
2002-12-05	38	4th	14 17 21 31 33 69
2002-07-27	20	4th	11 20 24 31 40 49
2002-05-18	39	3rd	13 28 31 58 59 79
2002-01-02	22	2nd	23 31 33 39 74 84
2001-10-20	20	5th	16 19 20 30 31 47
2001-08-11	4	3rd	21 25 31 44 49 52
2001-07-28	4	2nd	27 31 34 47 58 75
2001-07-14	4	2nd	1 31 44 59 64 77
2001-06-30	1	2nd	22 31 45 68 84 88
2001-06-27	19	4th	16 20 27 31 32 77
2001-04-21	29	4th	2 7 12 31 38 71
2001-01-10	47	4th	8 14 30 31 35 76
2000-07-29	16	2nd	29 31 56 57 76 79
2000-06-03	43	3rd	6 17 31 33 43 66
2000-01-05	13	3rd	2 13 31 37 38 82
1999-11-20	43	2nd	20 31 45 62 76 81
1999-06-23	1	1st	31 36 37 71 86 90
1999-06-19	62	3rd	13 23 31 58 67 68
1998-11-14	14	2nd	6 31 69 70 76 85
1998-09-26	1	2nd	28 31 40 67 74 90
1998-09-23	12	3rd	7 9 31 41 67 68
1998-08-12	1	1st	31 33 61 77 86 88
1998-08-08	37	3rd	12 27 31 32 57 83
1998-04-01	—	2nd	17 31 42 43 55 72