Number 34

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

68times drawn · chance expected 78 −1.14σ

20draws waiting · a wait this long: 17% for any number

12.2average wait between appearances · chance says 11.2

73longest completed wait · 8% chance of one at least that long

34 is drawn as often as chance explains

Drawn 68 times in 869 draws against 77.6 expected, −1.14σ. Each draw is independent: after 20 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 34, draw by draw

Drawn 68 times in 869 draws · average wait 12.2 draws · longest completed wait 73 · waiting 20 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 34 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 1.5
2nd smallest7 · chance 10.1
3rd smallest27 · chance 24.3
4th smallest23 · chance 23.9
5th smallest11 · chance 8.2

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 4.9 shared draws, and the leaders are simply the ones that came out ahead this time.

5 9 25 2 24 14

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, 34 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 34 →

Every draw it appeared in

Date	Wait	Position	The draw
2013-08-09	15	4th	1 20 30 34 38
2013-06-18	1	3rd	6 17 34 40 48
2013-06-14	12	5th	2 5 31 33 34
2013-05-03	1	3rd	2 20

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

2010-11-23	5	4th	2 6 12 34 35
2010-11-05	33	3rd	19 25 34 46 53
2010-07-13	1	5th	7 11 14 15 34
2010-07-09	8	4th	1 31 33 34 50
2010-06-11	10	4th	6 13 33 34 42
2010-05-07	5	4th	2 7 20 34 50
2010-04-20	13	4th	5 8 10 34 42
2010-03-05	13	3rd	11 31 34 44 52
2010-01-19	11	3rd	4 5 34 38 41
2009-12-11	9	4th	2 21 27 34 44
2009-11-10	8	4th	8 21 29 34 37
2009-10-13	20	3rd	17 31 34 45 51
2009-08-04	10	3rd	1 28 34 42 50
2009-06-30	11	2nd	7 34 49 54 55
2009-05-22	4	3rd	3 29 34 42 49
2009-05-08	13	5th	12 27 29 32 34
2009-03-24	23	3rd	4 25 34 43 44
2009-01-02	14	5th	2 11 19 21 34
2008-11-14	6	5th	3 18 19 30 34
2008-10-24	9	3rd	5 33 34 47 52
2008-09-23	8	3rd	9 32 34 43 52
2008-08-26	12	4th	6 16 24 34 36
2008-07-15	73	3rd	19 24 34 45 51
2007-11-02	6	3rd	1 3 34 49 52
2007-10-12	7	3rd	21 26 34 44 54
2007-09-18	3	4th	20 24 31 34 49
2007-09-07	7	4th	14 19 27 34 48
2007-08-14	10	5th	5 8 9 24 34
2007-07-10	27	4th	19 24 30 34 56
2007-04-06	1	3rd	24 32 34 36 39
2007-04-03	2	4th	16 26 33 34 46
2007-03-27	27	3rd	18 25 34 35 42
2006-12-22	15	5th	5 12 15 25 34
2006-10-31	15	2nd	5 34 40 45 46
2006-09-08	17	3rd	9 17 34 52 53
2006-07-11	5	3rd	5 14 34 36 52
2006-06-23	7	4th	13 17 24 34 56
2006-05-30	12	4th	2 13 28 34 45
2006-04-18	15	4th	13 14 25 34 50
2006-02-24	9	5th	3 5 12 16 34
2006-01-24	17	2nd	31 34 36 51 55
2005-11-25	4	5th	5 25 31 33 34
2005-11-11	8	3rd	9 14 34 50 51
2005-10-14	—	5th	6 20 24 25 34