Number 3

In Lotto under the 6/40 · Apr 2010 – Aug 2020 rules — 1,077 draws, 6 from 1–40 (an earlier era).

166times drawn · chance expected 162 +0.38σ

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

6.5average wait between appearances · chance says 6.7

35longest completed wait · 48% chance of one at least that long

3 is drawn as often as chance explains

Drawn 166 times in 1,077 draws against 161.5 expected, +0.38σ. Each draw is independent: after 1 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 3, draw by draw

Drawn 166 times in 1,077 draws · average wait 6.5 draws · longest completed wait 35 · 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 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 smallest125 · chance 125.7
2nd smallest41 · chance 38.1
3rd smallest0 · chance 2.2
4th smallest0 · chance 0.0
5th smallest0 · chance 0.0
6th smallest0 · chance 0.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 21.3 shared draws, and the leaders are simply the ones that came out ahead this time.

24 5 34 14 17 27

It has shared a draw with every one of the other 39 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 40. 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
2020-08-05	1	1st	3 21 27 29 32 35
2020-08-01	7	1st	3 5 14 22 30 32
2020-07-08	9	1st	3 10 18 22 25 29
2020-06-06	4

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 6/40 tonight whatever it did last week.

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