Number 31

In Oz Lotto under the 7/45 + 2/45 · Jan 2009 – May 2022 rules — 697 draws, 7 from 1–45 (an earlier era).

101times drawn · chance expected 108 −0.78σ

10draws waiting · a wait this long: 22% for any number

6.8average wait between appearances · chance says 6.4

46longest completed wait · 5% chance of one at least that long

31 is drawn as often as chance explains

Drawn 101 times in 697 draws against 108.4 expected, −0.78σ. Each draw is independent: after 10 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 33 times, counted separately.

Number 31, draw by draw

Drawn 101 times in 697 draws · average wait 6.8 draws · longest completed wait 46 · waiting 10 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 0.0
2nd smallest0 · chance 0.9
3rd smallest7 · chance 6.2
4th smallest17 · chance 21.1
5th smallest37 · chance 35.7
6th smallest31 · chance 28.5
7th smallest9 · chance 8.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 13.8 shared draws, and the leaders are simply the ones that came out ahead this time.

1 25 39 27 14 15

It has shared a draw with every one of the other 44 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 45. 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
2022-03-01	5	6th	4 6 19 20 29 31 32
2022-01-25	4	6th	4 11 17 22 26 31 36
2021-12-28	2	4th	14 20 25 31 41 42

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 7/45 tonight whatever it did last week.

2018-10-30	12	7th	3 7 8 14 17 28 31
2018-08-07	8	6th	14 15 21 24 26 31 40
2018-06-12	3	5th	2 7 12 22 31 38 45
2018-05-22	2	5th	2 12 13 19 31 39 45
2018-05-08	4	4th	9 27 29 31 41 43 45
2018-04-10	6	6th	3 15 17 23 25 31 40
2018-02-27	4	5th	2 16 25 29 31 33 39
2018-01-30	1	5th	2 5 12 24 31 40 45
2018-01-23	6	5th	16 21 25 28 31 33 44
2017-12-12	7	5th	3 4 6 7 31 35 43
2017-10-24	2	4th	9 15 22 31 35 40 44
2017-10-10	3	6th	7 12 17 20 28 31 42
2017-09-19	16	5th	6 14 15 29 31 37 42
2017-05-30	10	6th	1 4 13 19 26 31 35
2017-03-21	1	5th	6 15 25 27 31 33 44
2017-03-14	3	7th	2 6 10 14 25 28 31
2017-02-21	4	5th	5 9 19 28 31 41 45
2017-01-24	1	5th	17 20 24 27 31 34 43
2017-01-17	5	5th	2 7 21 22 31 37 39
2016-12-13	2	3rd	17 20 31 34 37 39 44
2016-11-29	1	4th	12 22 28 31 32 35 42
2016-11-22	9	4th	11 17 30 31 32 43 45
2016-09-20	7	4th	4 12 27 31 33 34 39
2016-08-02	1	5th	1 7 8 27 31 33 45
2016-07-26	3	6th	1 4 11 22 30 31 38
2016-07-05	12	4th	2 9 14 31 37 41 43
2016-04-12	12	3rd	18 23 31 35 39 42 43
2016-01-19	2	6th	1 10 12 13 25 31 34
2016-01-05	9	4th	18 19 25 31 33 37 43
2015-11-03	35	4th	5 19 30 31 32 37 40
2015-03-03	1	6th	5 19 20 23 26 31 43
2015-02-24	1	7th	3 4 6 18 21 23 31
2015-02-17	3	6th	2 4 19 25 30 31 38
2015-01-27	1	5th	1 7 9 30 31 35 40
2015-01-20	11	6th	2 14 15 20 28 31 34
2014-11-04	7	7th	13 14 18 21 23 25 31
2014-09-16	4	3rd	13 15 31 33 34 36 45
2014-08-19	3	4th	1 5 7 31 33 41 43
2014-07-29	10	5th	1 10 15 30 31 38 43
2014-05-20	5	6th	4 5 7 16 26 31 39
2014-04-15	2	6th	5 17 22 27 29 31 35
2014-04-01	9	6th	1 10 16 19 21 31 40
2014-01-28	1	6th	4 14 22 25 26 31 36
2014-01-21	8	6th	1 7 16 23 29 31 42
2013-11-26	10	6th	5 6 12 24 26 31 40
2013-09-17	2	5th	8 9 24 27 31 41 44
2013-09-03	1	7th	8 18 22 23 26 28 31
2013-08-27	2	5th	7 18 19 28 31 33 37
2013-08-13	3	5th	1 11 14 30 31 33 43
2013-07-23	3	3rd	8 28 31 34 37 40 41
2013-07-02	2	4th	13 15 20 31 38 42 45
2013-06-18	3	5th	1 9 20 29 31 35 40
2013-05-28	3	6th	1 14 25 26 30 31 35
2013-05-07	22	5th	16 18 24 28 31 35 44
2012-12-04	5	7th	1 3 7 14 21 24 31
2012-10-30	14	7th	4 5 8 16 21 26 31
2012-07-24	5	4th	6 20 29 31 36 40 43
2012-06-19	17	6th	1 2 4 10 16 31 39
2012-02-21	1	5th	6 13 14 19 31 41 45
2012-02-14	4	6th	7 10 23 25 27 31 43
2012-01-17	2	6th	2 5 7 11 13 31 32
2012-01-03	9	3rd	1 22 31 34 35 39 42
2011-11-01	7	6th	5 12 17 23 25 31 44
2011-09-13	12	5th	6 18 20 24 31 37 38
2011-06-21	46	5th	15 16 17 19 31 37 42
2010-08-03	3	5th	3 15 19 27 31 40 41
2010-07-13	2	6th	6 13 16 23 27 31 39
2010-06-29	15	5th	1 17 21 22 31 34 45
2010-03-16	9	5th	2 3 13 27 31 37 38
2010-01-12	7	4th	14 18 23 31 33 37 40
2009-11-24	1	5th	7 22 23 24 31 36 39
2009-11-17	1	5th	4 6 25 27 31 33 34
2009-11-10	18	5th	1 16 24 25 31 35 36
2009-07-07	2	4th	1 8 26 31 34 35 44
2009-06-23	7	6th	9 15 18 21 23 31 40
2009-05-05	14	6th	6 10 12 20 24 31 42
2009-01-27	—	5th	3 21 24 28 31 34 45