Cash 5 · every number
31
Number 31 In Cash 5 under the 5/39 · Nov 2012 – Apr 2014 rules — 527 draws, 5 from 1–39 (an earlier era).
5/45 · since Jun 2017 5/41 · Apr 2014 – Jun 2017 5/39 · Nov 2012 – Apr 2014 71 times drawn · chance expected 68 +0.45σ
3 draws waiting · a wait this long: 76% for any number
7.4 average wait between appearances · chance says 7.8
45 longest completed wait · 15% chance of one at least that long
31 is drawn as often as chance explains Drawn 71 times in 527 draws against 67.6 expected, +0.45σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.
31 Number 31, draw by draw Drawn 71 times in 527 draws · average wait 7.4 draws · longest completed wait 45 · waiting 3 draws now
10 draws: 2012-11-06 to 2012-11-16 15 draws: 2012-11-16 to 2012-12-01 6 draws: 2012-12-01 to 2012-12-07 3 draws: 2012-12-07 to 2012-12-10 1 draws: 2012-12-10 to 2012-12-11 19 draws: 2012-12-11 to 2012-12-30 45 draws: 2012-12-30 to 2013-02-13 1 draws: 2013-02-13 to 2013-02-14 22 draws: 2013-02-14 to 2013-03-08 2 draws: 2013-03-08 to 2013-03-10 6 draws: 2013-03-10 to 2013-03-16 2 draws: 2013-03-16 to 2013-03-18 5 draws: 2013-03-18 to 2013-03-23 2 draws: 2013-03-23 to 2013-03-25 7 draws: 2013-03-25 to 2013-04-01 7 draws: 2013-04-01 to 2013-04-08 10 draws: 2013-04-08 to 2013-04-18 7 draws: 2013-04-18 to 2013-04-25 2 draws: 2013-04-25 to 2013-04-27 4 draws: 2013-04-27 to 2013-05-01 3 draws: 2013-05-01 to 2013-05-04 2 draws: 2013-05-04 to 2013-05-06 1 draws: 2013-05-06 to 2013-05-07 2 draws: 2013-05-07 to 2013-05-09 7 draws: 2013-05-09 to 2013-05-16 1 draws: 2013-05-16 to 2013-05-17 4 draws: 2013-05-17 to 2013-05-21 8 draws: 2013-05-21 to 2013-05-29 10 draws: 2013-05-29 to 2013-06-08 9 draws: 2013-06-08 to 2013-06-17 7 draws: 2013-06-17 to 2013-06-24 7 draws: 2013-06-24 to 2013-07-01 19 draws: 2013-07-01 to 2013-07-20 1 draws: 2013-07-20 to 2013-07-21 7 draws: 2013-07-21 to 2013-07-28 1 draws: 2013-07-28 to 2013-07-29 1 draws: 2013-07-29 to 2013-07-30 10 draws: 2013-07-30 to 2013-08-09 7 draws: 2013-08-09 to 2013-08-16 26 draws: 2013-08-16 to 2013-09-11 2 draws: 2013-09-11 to 2013-09-13 4 draws: 2013-09-13 to 2013-09-17 3 draws: 2013-09-17 to 2013-09-20 14 draws: 2013-09-20 to 2013-10-04 10 draws: 2013-10-04 to 2013-10-14 1 draws: 2013-10-14 to 2013-10-15 4 draws: 2013-10-15 to 2013-10-19 4 draws: 2013-10-19 to 2013-10-23 1 draws: 2013-10-23 to 2013-10-24 2 draws: 2013-10-24 to 2013-10-27 8 draws: 2013-10-27 to 2013-11-04 6 draws: 2013-11-04 to 2013-11-10 1 draws: 2013-11-10 to 2013-11-11 4 draws: 2013-11-11 to 2013-11-15 13 draws: 2013-11-15 to 2013-11-28 1 draws: 2013-11-28 to 2013-11-29 17 draws: 2013-11-29 to 2013-12-16 2 draws: 2013-12-16 to 2013-12-18 13 draws: 2013-12-18 to 2013-12-31 20 draws: 2013-12-31 to 2014-01-20 5 draws: 2014-01-20 to 2014-01-25 22 draws: 2014-01-25 to 2014-02-16 1 draws: 2014-02-16 to 2014-02-17 14 draws: 2014-02-17 to 2014-03-03 6 draws: 2014-03-03 to 2014-03-09 2 draws: 2014-03-09 to 2014-03-11 7 draws: 2014-03-11 to 2014-03-18 4 draws: 2014-03-18 to 2014-03-22 6 draws: 2014-03-22 to 2014-03-28 15 draws: 2014-03-28 to 2014-04-12 Still waiting — at least 3 draws since 2014-04-12 2012-11-06 2012-11-16 2012-12-01 2012-12-07 2012-12-10 2012-12-11 2012-12-30 2013-02-13 2013-02-14 2013-03-08 2013-03-10 2013-03-16 2013-03-18 2013-03-23 2013-03-25 2013-04-01 2013-04-08 2013-04-18 2013-04-25 2013-04-27 2013-05-01 2013-05-04 2013-05-06 2013-05-07 2013-05-09 2013-05-16 2013-05-17 2013-05-21 2013-05-29 2013-06-08 2013-06-17 2013-06-24 2013-07-01 2013-07-20 2013-07-21 2013-07-28 2013-07-29 2013-07-30 2013-08-09 2013-08-16 2013-09-11 2013-09-13 2013-09-17 2013-09-20 2013-10-04 2013-10-14 2013-10-15 2013-10-19 2013-10-23 2013-10-24 2013-10-27 2013-11-04 2013-11-10 2013-11-11 2013-11-15 2013-11-28 2013-11-29 2013-12-16 2013-12-18 2013-12-31 2014-01-20 2014-01-25 2014-02-16 2014-02-17 2014-03-03 2014-03-09 2014-03-11 2014-03-18 2014-03-22 2014-03-28 2014-04-12 2012-11-04 2014-04-15
1 draws: 12 times 2 draws: 10 times 3 draws: 3 times 4 draws: 7 times 5 draws: 2 times 6 draws: 5 times 7 draws: 9 times 8 draws: 2 times 9 draws: 1 time 10 draws: 5 times 11 draws: 0 times 12 draws: 0 times 13 draws: 2 times 14 draws: 2 times 15 draws: 2 times 16 draws: 0 times 17 draws: 1 time 18 draws: 0 times 19 draws: 2 times 20 draws: 1 time 21 draws: 0 times 22 draws: 2 times 23 draws: 0 times 24 draws: 0 times 25 draws: 0 times 26 draws: 1 time 27 draws: 0 times 28 draws: 0 times 29 draws: 0 times 30 draws: 0 times 31 draws: 0 times 32 draws: 0 times 33 draws: 0 times 34 draws: 0 times 35 draws: 0 times 36 draws: 0 times 37 draws: 0 times 38 draws: 0 times 39 draws: 0 times 40 draws: 0 times 41 draws: 0 times 42 draws: 0 times 43 draws: 0 times 44 draws: 0 times 45 draws: 1 time 46 draws: 0 times its own waits draws between appearances Where it lands in a sorted draw Sort a draw and 31 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 smallest 0 · chance 0.1 2nd smallest 1 · chance 1.6 3rd smallest 8 · chance 11.7 4th smallest 39 · chance 31.2 5th smallest 23 · chance 26.4 Every position’s lane →
The company it keeps Seen most often with these — chance gives every partner about 7.5 shared draws, and the leaders are simply the ones that came out ahead this time.
It has shared a draw with every one of the other 38 numbers; chance expected about 0.0 still unmet by now. Every pair →
How many people play it Under the crowd model, 31 is picked about 1.22× as often as an indifferent choice — 15th most popular of 39. 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 model and its sources → · What people believe about 31 →
Every draw it appeared in ← number 30 Every number number 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: 31 is drawn with probability 5/39 tonight whatever it did last week.