Number 20

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

111times drawn · chance expected 108 +0.27σ

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

6.2average wait between appearances · chance says 6.4

27longest completed wait · 74% chance of one at least that long

20 is drawn as often as chance explains

Drawn 111 times in 697 draws against 108.4 expected, +0.27σ. 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 29 times, counted separately.

Number 20, draw by draw

Drawn 111 times in 697 draws · average wait 6.2 draws · longest completed wait 27 · 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 20 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 smallest3 · chance 2.8
2nd smallest17 · chance 15.9
3rd smallest45 · chance 34.0
4th smallest29 · chance 35.0
5th smallest12 · chance 18.3
6th smallest4 · chance 4.6
7th smallest1 · chance 0.4

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 15.1 shared draws, and the leaders are simply the ones that came out ahead this time.

32 33 21 5 19 42

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, 20 is picked about 1.28× as often as an indifferent choice — 13th 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
Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 20 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-03-01	4	4th	4 6 19 20 29 31 32
2022-02-01	5	3rd	8 10 20 23 37 43 44
2021-12-28	13	2nd	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: 20 is drawn with probability 7/45 tonight whatever it did last week.

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