Number 3

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

0draws waiting — it came up last time

6.3average wait between appearances · chance says 6.4

23longest completed wait · 93% chance of one at least that long

3 is drawn as often as chance explains

Drawn 111 times in 697 draws against 108.4 expected, +0.27σ. Each draw is independent: after 0 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 3, draw by draw

Drawn 111 times in 697 draws · average wait 6.3 draws · longest completed wait 23 · drawn in the most recent draw

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 3 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 smallest79 · chance 82.5
2nd smallest32 · chance 26.8
3rd smallest0 · chance 1.8
4th smallest0 · chance 0.0
5th smallest0 · chance 0.0
6th smallest0 · chance 0.0
7th smallest0 · chance 0.0

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.

17 29 34 40 6 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, 3 is picked about 1.48× as often as an indifferent choice — 2nd 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
Numbers 1–12 — day and month overlap ×1.10
Culturally lucky numbers 3, 8, 9 ×1.10

The model and its sources → · What people believe about 3 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-05-10	5	2nd	1 3 6 7 19 42 43
2022-04-05	11	1st	3 5 30 34 37 40 45
2022-01-18	1	1st	3 9 14 17 30 37

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

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