Number 33

In Mega Millions under the 5/56 + 1/46 · Jun 2005 – Oct 2013 rules — 869 draws, 5 from 1–56 (an earlier era).

69times drawn · chance expected 78 −1.02σ

33draws waiting · a wait this long: 5% for any number

11.8average wait between appearances · chance says 11.2

51longest completed wait · 47% chance of one at least that long

33 is drawn as often as chance explains

Drawn 69 times in 869 draws against 77.6 expected, −1.02σ. Each draw is independent: after 33 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 33, draw by draw

Drawn 69 times in 869 draws · average wait 11.8 draws · longest completed wait 51 · waiting 33 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 33 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.

1st smallest0 · chance 1.8
2nd smallest12 · chance 11.5
3rd smallest21 · chance 25.4
4th smallest23 · chance 23.1
5th smallest13 · chance 7.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 5.0 shared draws, and the leaders are simply the ones that came out ahead this time.

5 13 22 23 26 20

It has shared a draw with every one of the other 55 numbers; chance expected about 0.4 still unmet by now. Every pair →

How many people play it

Under the crowd model, 33 is picked about 0.86× as often as an indifferent choice — 34th most popular of 56. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.

Numbers above 31 ×0.86

The model and its sources → · What people believe about 33 →

Every draw it appeared in

Date	Wait	Position	The draw
2013-06-25	3	4th	3 5 28 33 51
2013-06-14	23	4th	2 5 31 33 34
2013-03-26	29	2nd	20 33 46 49 51
2012-12-14	10	3rd	11 28

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: 33 is drawn with probability 5/56 tonight whatever it did last week.

2010-12-10	9	3rd	23 27 33 44 46
2010-11-09	27	4th	8 26 28 33 53
2010-08-06	8	4th	7 13 30 33 54
2010-07-09	8	3rd	1 31 33 34 50
2010-06-11	9	3rd	6 13 33 34 42
2010-05-11	25	2nd	26 33 43 46 54
2010-02-12	15	4th	14 16 17 33 47
2009-12-22	5	2nd	3 33 35 39 45
2009-12-04	14	2nd	4 33 41 51 56
2009-10-16	3	4th	10 13 18 33 51
2009-10-06	4	2nd	9 33 51 53 56
2009-09-22	11	3rd	26 29 33 39 46
2009-08-14	51	4th	8 22 25 33 35
2009-02-17	10	5th	1 9 23 27 33
2009-01-13	2	3rd	22 25 33 36 48
2009-01-06	3	5th	3 11 12 19 33
2008-12-26	5	4th	6 19 29 33 37
2008-12-09	13	5th	11 12 26 31 33
2008-10-24	33	2nd	5 33 34 47 52
2008-07-01	33	3rd	1 22 33 43 52
2008-03-07	1	3rd	19 32 33 41 48
2008-03-04	12	4th	7 15 30 33 56
2008-01-22	1	5th	12 15 22 25 33
2008-01-18	16	3rd	12 22 33 43 44
2007-11-23	4	3rd	18 21 33 42 56
2007-11-09	12	2nd	11 33 41 42 46
2007-09-28	2	5th	4 13 20 25 33
2007-09-21	2	4th	5 21 23 33 45
2007-09-14	8	4th	5 9 12 33 40
2007-08-17	2	3rd	2 8 33 38 53
2007-08-10	26	4th	10 20 32 33 54
2007-05-11	11	3rd	28 30 33 48 54
2007-04-03	9	3rd	16 26 33 34 46
2007-03-02	8	3rd	14 21 33 35 51
2007-02-02	5	2nd	22 33 35 40 53
2007-01-16	20	4th	4 8 15 33 52
2006-11-07	10	3rd	13 22 33 51 52
2006-10-03	5	4th	6 19 32 33 40
2006-09-15	11	3rd	6 26 33 39 55
2006-08-08	16	5th	1 5 13 18 33
2006-06-13	17	5th	1 20 23 24 33
2006-04-14	37	5th	8 10 18 29 33
2005-12-06	3	5th	6 10 26 30 33
2005-11-25	11	4th	5 25 31 33 34
2005-10-18	—	5th	3 12 16 32 33