Number 3

In Lotto Max under the 7/49 + 1/49 · Sep 2009 – May 2019 rules — 503 draws, 7 from 1–49 (an earlier era).

77times drawn · chance expected 72 +0.66σ

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

6.3average wait between appearances · chance says 7.0

38longest completed wait · 22% chance of one at least that long

3 is drawn as often as chance explains

Drawn 77 times in 503 draws against 71.9 expected, +0.66σ. 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 8 times, counted separately.

Number 3, draw by draw

Drawn 77 times in 503 draws · average wait 6.3 draws · longest completed wait 38 · 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 smallest54 · chance 58.8
2nd smallest20 · chance 17.2
3rd smallest3 · chance 1.0
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 9.6 shared draws, and the leaders are simply the ones that came out ahead this time.

33 1 45 13 19 20

It has shared a draw with every one of the other 48 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 49. 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
2019-05-03	6	2nd	2 3 5 12 21 22 37
2019-03-22	9	2nd	1 3 20 21 27 28 44
2019-01-18	12	1st	3 19 22 30 32

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 7/49 tonight whatever it did last week.

2015-01-09	3	1st	3 7 12 18 31 33 35
2014-12-19	3	1st	3 6 13 17 22 25 43
2014-11-28	3	1st	3 4 7 12 17 26 34
2014-11-07	1	2nd	1 3 6 8 14 20 30
2014-10-31	5	1st	3 12 25 30 42 44 45
2014-09-26	3	2nd	2 3 5 18 37 38 46
2014-09-05	7	1st	3 8 11 20 28 36 38
2014-07-18	6	2nd	1 3 16 33 34 40 42
2014-06-06	2	1st	3 5 17 30 36 47 49
2014-05-23	4	1st	3 11 16 24 31 39 43
2014-04-25	2	1st	3 9 24 25 28 36 40
2014-04-11	4	2nd	1 3 14 33 35 39 45
2014-03-14	14	1st	3 4 5 7 31 33 40
2013-12-06	1	1st	3 4 11 18 37 42 44
2013-11-29	2	1st	3 6 19 31 34 42 45
2013-11-15	17	2nd	1 3 10 15 25 28 31
2013-07-19	10	1st	3 17 19 20 34 35 43
2013-05-10	3	1st	3 10 19 21 27 35 36
2013-04-19	1	2nd	2 3 8 20 28 31 34
2013-04-12	9	1st	3 6 37 40 42 44 48
2013-02-08	5	1st	3 8 13 30 38 45 47
2013-01-04	3	1st	3 6 16 23 27 28 34
2012-12-14	2	1st	3 6 10 33 39 48 49
2012-11-30	5	1st	3 10 13 23 31 41 45
2012-10-26	1	1st	3 4 20 25 30 35 48
2012-10-19	8	3rd	1 2 3 15 22 37 41
2012-08-24	6	2nd	2 3 5 22 23 32 33
2012-07-13	7	1st	3 13 14 23 33 36 45
2012-05-25	1	3rd	1 2 3 6 12 20 41
2012-05-18	2	1st	3 4 13 15 21 29 48
2012-05-04	1	1st	3 5 6 25 37 43 45
2012-04-27	4	1st	3 23 28 40 42 43 45
2012-03-30	14	1st	3 11 12 19 35 45 47
2011-12-23	2	1st	3 4 9 25 26 37 39
2011-12-09	8	1st	3 11 18 19 23 27 44
2011-10-14	6	2nd	1 3 7 19 31 39 49
2011-09-02	5	2nd	2 3 8 13 18 20 23
2011-07-29	2	3rd	1 2 3 17 24 35 36
2011-07-15	13	1st	3 7 8 12 18 24 41
2011-04-15	5	1st	3 12 14 15 25 32 49
2011-03-11	1	2nd	2 3 4 20 22 40 43
2011-03-04	1	1st	3 18 27 29 32 33 35
2011-02-25	1	1st	3 14 19 30 32 39 46
2011-02-18	2	1st	3 7 12 16 20 42 48
2011-02-04	16	2nd	1 3 13 18 19 39 48
2010-10-15	1	1st	3 14 17 25 30 33 39
2010-10-08	6	1st	3 4 5 8 13 22 33
2010-08-27	12	1st	3 14 26 27 29 32 34
2010-06-04	4	1st	3 18 27 30 33 40 45
2010-05-07	1	1st	3 6 10 14 19 25 33
2010-04-30	5	2nd	1 3 4 5 16 32 33
2010-03-26	1	1st	3 11 12 16 34 36 37
2010-03-19	—	2nd	1 3 6 34 37 42 45