Number 21

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

118times drawn · chance expected 108 +1.00σ

1draws waiting · a wait this long: >99% for any number

5.9average wait between appearances · chance says 6.4

31longest completed wait · 52% chance of one at least that long

21 is drawn as often as chance explains

Drawn 118 times in 697 draws against 108.4 expected, +1.00σ. Each draw is independent: after 1 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 34 times, counted separately.

Number 21, draw by draw

Drawn 118 times in 697 draws · average wait 5.9 draws · longest completed wait 31 · waiting 1 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 21 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 smallest2 · chance 2.2
2nd smallest14 · chance 14.2
3rd smallest25 · chance 33.7
4th smallest50 · chance 38.6
5th smallest21 · chance 22.4
6th smallest6 · chance 6.2
7th smallest0 · chance 0.6

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 16.1 shared draws, and the leaders are simply the ones that came out ahead this time.

25 15 18 20 24 40

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, 21 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 21 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-05-03	2	5th	4 8 15 17 21 29 44
2022-04-19	31	4th	5 6 15 21 27 32 37
2021-09-14	1	4th	5 6 8 21 23 33

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: 21 is drawn with probability 7/45 tonight whatever it did last week.

2019-11-19	3	3rd	5 8 21 23 38 39 40
2019-10-29	11	4th	1 14 20 21 26 41 44
2019-08-13	2	6th	1 7 11 14 18 21 27
2019-07-30	15	3rd	5 11 21 23 27 30 34
2019-04-16	19	4th	6 9 12 21 22 36 40
2018-12-04	7	4th	18 19 20 21 27 32 35
2018-10-16	3	5th	2 3 14 15 21 41 43
2018-09-25	4	3rd	17 20 21 24 29 33 39
2018-08-28	3	5th	1 2 13 19 21 23 34
2018-08-07	10	3rd	14 15 21 24 26 31 40
2018-05-29	18	6th	1 8 9 12 13 21 44
2018-01-23	12	2nd	16 21 25 28 31 33 44
2017-10-31	9	2nd	6 21 23 30 32 42 44
2017-08-29	3	2nd	8 21 22 23 24 36 44
2017-08-08	3	3rd	6 15 21 25 40 43 45
2017-07-18	4	4th	2 7 19 21 23 29 45
2017-06-20	5	4th	13 16 17 21 23 25 28
2017-05-16	5	3rd	9 14 21 22 27 41 43
2017-04-11	5	2nd	1 21 23 25 28 38 45
2017-03-07	7	5th	4 6 17 18 21 33 37
2017-01-17	14	3rd	2 7 21 22 31 37 39
2016-10-11	2	4th	3 8 18 21 25 27 38
2016-09-27	5	3rd	3 13 21 26 32 36 45
2016-08-23	12	4th	1 5 15 21 32 36 45
2016-05-31	2	4th	6 9 15 21 23 33 44
2016-05-17	1	4th	5 10 18 21 24 42 44
2016-05-10	9	2nd	20 21 22 26 27 36 44
2016-03-08	2	3rd	1 9 21 24 35 44 45
2016-02-23	18	4th	1 5 18 21 22 36 39
2015-10-20	2	4th	9 10 11 21 35 43 45
2015-10-06	2	4th	2 7 13 21 26 36 42
2015-09-22	2	1st	21 23 27 35 37 42 44
2015-09-08	2	4th	4 9 13 21 24 37 38
2015-08-25	5	4th	15 18 19 21 25 34 45
2015-07-21	6	4th	3 13 20 21 26 30 33
2015-06-09	1	6th	5 7 10 14 15 21 32
2015-06-02	4	4th	2 17 18 21 30 33 37
2015-05-05	10	4th	2 17 18 21 29 37 45
2015-02-24	10	5th	3 4 6 18 21 23 31
2014-12-16	1	4th	4 11 20 21 25 42 45
2014-12-09	1	4th	7 13 15 21 25 42 43
2014-12-02	3	3rd	1 15 21 29 35 36 45
2014-11-11	1	3rd	2 10 21 25 33 41 43
2014-11-04	1	4th	13 14 18 21 23 25 31
2014-10-28	2	4th	6 9 20 21 22 38 40
2014-10-14	10	4th	3 12 17 21 24 38 45
2014-08-05	9	3rd	3 9 21 25 33 35 42
2014-06-03	9	5th	5 8 14 20 21 35 40
2014-04-01	5	5th	1 10 16 19 21 31 40
2014-02-25	6	4th	3 16 20 21 34 37 38
2014-01-14	1	1st	21 22 24 36 40 44 45
2014-01-07	5	5th	14 17 19 20 21 28 29
2013-12-03	6	4th	2 19 20 21 23 33 40
2013-10-22	6	4th	7 15 20 21 24 28 42
2013-09-10	6	4th	12 18 20 21 29 37 40
2013-07-30	18	5th	3 7 13 16 21 29 39
2013-03-26	2	4th	14 18 19 21 25 43 44
2013-03-12	8	4th	3 8 10 21 28 38 40
2013-01-15	5	3rd	7 17 21 28 34 36 44
2012-12-11	1	5th	3 5 12 15 21 25 30
2012-12-04	5	5th	1 3 7 14 21 24 31
2012-10-30	1	5th	4 5 8 16 21 26 31
2012-10-23	16	4th	2 14 16 21 25 27 41
2012-07-03	11	2nd	19 21 24 28 32 34 45
2012-04-17	2	2nd	9 21 24 27 35 38 40
2012-04-03	4	4th	7 10 19 21 27 36 44
2012-03-06	4	4th	5 7 15 21 29 32 41
2012-02-07	7	4th	1 5 20 21 25 33 39
2011-12-20	1	4th	7 8 9 21 29 36 40
2011-12-13	3	3rd	11 18 21 25 29 42 45
2011-11-22	2	5th	5 10 11 16 21 25 37
2011-11-08	6	6th	1 3 6 15 18 21 34
2011-09-27	9	2nd	15 21 23 26 32 34 40
2011-07-26	2	2nd	10 21 23 27 35 41 45
2011-07-12	4	4th	7 8 16 21 24 27 35
2011-06-14	3	6th	1 3 4 13 15 21 26
2011-05-24	7	4th	7 9 15 21 24 25 40
2011-04-05	11	2nd	18 21 24 40 42 43 45
2011-01-18	23	5th	2 4 14 19 21 36 38
2010-08-10	6	3rd	11 16 21 22 25 28 41
2010-06-29	3	3rd	1 17 21 22 31 34 45
2010-06-08	8	3rd	5 15 21 26 35 40 43
2010-04-13	8	4th	17 19 20 21 22 23 33
2010-02-16	3	4th	1 19 20 21 26 37 44
2010-01-26	18	2nd	17 21 32 37 38 40 44
2009-09-22	2	5th	7 18 19 20 21 24 26
2009-09-08	10	5th	2 3 7 20 21 24 35
2009-06-30	1	3rd	3 12 21 23 29 38 40
2009-06-23	5	4th	9 15 18 21 23 31 40
2009-05-19	3	5th	11 12 17 18 21 22 25
2009-04-28	1	3rd	1 13 21 24 25 36 43
2009-04-21	2	4th	16 18 20 21 22 32 43
2009-04-07	10	4th	7 12 13 21 26 35 41
2009-01-27	—	2nd	3 21 24 28 31 34 45