Number 13

In Montana Cash under the 5/37 · Apr 2010 – May 2014 rules — 428 draws, 5 from 1–37 (an earlier era).

59times drawn · chance expected 58 +0.16σ

0draws waiting — it came up last time

7.1average wait between appearances · chance says 7.4

34longest completed wait · 38% chance of one at least that long

13 is drawn as often as chance explains

Drawn 59 times in 428 draws against 57.8 expected, +0.16σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 13, draw by draw

Drawn 59 times in 428 draws · average wait 7.1 draws · longest completed wait 34 · drawn in the most recent draw

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 13 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 smallest14 · chance 10.6
2nd smallest25 · chance 24.3
3rd smallest17 · chance 18.2
4th smallest3 · chance 5.3
5th smallest0 · chance 0.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 6.6 shared draws, and the leaders are simply the ones that came out ahead this time.

18 29 33 6 36 17

It has shared a draw with every one of the other 36 numbers; chance expected about 0.1 still unmet by now. Every pair →

How many people play it

Under the crowd model, 13 is picked about 0.92× as often as an indifferent choice — 31st most popular of 37. 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
The number 13, in Western markets ×0.75

The model and its sources → · What people believe about 13 →

Every draw it appeared in

Date	Wait	Position	The draw
2014-05-10	11	1st	13 18 21 23 37
2014-04-02	25	3rd	6 12 13 15 34
2014-01-04	3	2nd	5 13 24 26 31
2013-12-25	6	1st	13 16

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: 13 is drawn with probability 5/37 tonight whatever it did last week.

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