Number 12

In PowerBall under the 5/45 + 1/20 · Oct 2009 – Jun 2018 rules — 896 draws, 5 from 1–45 (an earlier era).

115times drawn · chance expected 100 +1.64σ

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

7.8average wait between appearances · chance says 9.0

33longest completed wait · 93% chance of one at least that long

12 is drawn as often as chance explains

Drawn 115 times in 896 draws against 99.6 expected, +1.64σ. Each draw is independent: after 1 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 12, draw by draw

Drawn 115 times in 896 draws · average wait 7.8 draws · longest completed wait 33 · 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 12 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 smallest44 · chance 34.7
2nd smallest42 · chance 50.8
3rd smallest26 · chance 24.6
4th smallest3 · chance 4.6
5th smallest0 · chance 0.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 10.5 shared draws, and the leaders are simply the ones that came out ahead this time.

36 32 4 11 37 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, 12 is picked about 1.34× as often as an indifferent choice — 6th 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

The model and its sources → · What people believe about 12 →

Every draw it appeared in

Date	Wait	Position	The draw
2018-06-19	6	1st	12 20 23 24 37
2018-05-29	7	1st	12 21 31 37 41
2018-05-04	2	4th	4 9 11 12 25
2018-04-27	9	3rd	2 8

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: 12 is drawn with probability 5/45 tonight whatever it did last week.

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