Cash 5 · every number
15
Number 15 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 69 times drawn · chance expected 68 +0.19σ
9 draws waiting · a wait this long: 33% for any number
7.5 average wait between appearances · chance says 7.8
51 longest completed wait · 7% chance of one at least that long
15 is drawn as often as chance explains Drawn 69 times in 527 draws against 67.6 expected, +0.19σ. Each draw is independent: after 9 draws away it is exactly as likely tonight as a number drawn yesterday.
15 Number 15, draw by draw Drawn 69 times in 527 draws · average wait 7.5 draws · longest completed wait 51 · waiting 9 draws now
11 draws: 2012-11-08 to 2012-11-19 4 draws: 2012-11-19 to 2012-11-23 8 draws: 2012-11-23 to 2012-12-01 1 draws: 2012-12-01 to 2012-12-02 7 draws: 2012-12-02 to 2012-12-09 4 draws: 2012-12-09 to 2012-12-13 3 draws: 2012-12-13 to 2012-12-16 4 draws: 2012-12-16 to 2012-12-20 8 draws: 2012-12-20 to 2012-12-28 3 draws: 2012-12-28 to 2012-12-31 18 draws: 2012-12-31 to 2013-01-18 8 draws: 2013-01-18 to 2013-01-26 2 draws: 2013-01-26 to 2013-01-28 1 draws: 2013-01-28 to 2013-01-29 13 draws: 2013-01-29 to 2013-02-11 7 draws: 2013-02-11 to 2013-02-18 2 draws: 2013-02-18 to 2013-02-20 2 draws: 2013-02-20 to 2013-02-22 1 draws: 2013-02-22 to 2013-02-23 2 draws: 2013-02-23 to 2013-02-25 2 draws: 2013-02-25 to 2013-02-27 2 draws: 2013-02-27 to 2013-03-01 3 draws: 2013-03-01 to 2013-03-04 5 draws: 2013-03-04 to 2013-03-09 10 draws: 2013-03-09 to 2013-03-19 1 draws: 2013-03-19 to 2013-03-20 8 draws: 2013-03-20 to 2013-03-28 1 draws: 2013-03-28 to 2013-03-29 5 draws: 2013-03-29 to 2013-04-03 28 draws: 2013-04-03 to 2013-05-01 1 draws: 2013-05-01 to 2013-05-02 1 draws: 2013-05-02 to 2013-05-03 5 draws: 2013-05-03 to 2013-05-08 7 draws: 2013-05-08 to 2013-05-15 8 draws: 2013-05-15 to 2013-05-23 12 draws: 2013-05-23 to 2013-06-04 2 draws: 2013-06-04 to 2013-06-06 7 draws: 2013-06-06 to 2013-06-13 4 draws: 2013-06-13 to 2013-06-17 9 draws: 2013-06-17 to 2013-06-26 1 draws: 2013-06-26 to 2013-06-27 3 draws: 2013-06-27 to 2013-06-30 3 draws: 2013-06-30 to 2013-07-03 22 draws: 2013-07-03 to 2013-07-25 17 draws: 2013-07-25 to 2013-08-11 1 draws: 2013-08-11 to 2013-08-12 7 draws: 2013-08-12 to 2013-08-19 2 draws: 2013-08-19 to 2013-08-21 10 draws: 2013-08-21 to 2013-08-31 4 draws: 2013-08-31 to 2013-09-04 1 draws: 2013-09-04 to 2013-09-05 5 draws: 2013-09-05 to 2013-09-10 5 draws: 2013-09-10 to 2013-09-15 2 draws: 2013-09-15 to 2013-09-17 2 draws: 2013-09-17 to 2013-09-19 14 draws: 2013-09-19 to 2013-10-03 30 draws: 2013-10-03 to 2013-11-03 16 draws: 2013-11-03 to 2013-11-19 3 draws: 2013-11-19 to 2013-11-22 2 draws: 2013-11-22 to 2013-11-24 12 draws: 2013-11-24 to 2013-12-06 13 draws: 2013-12-06 to 2013-12-19 19 draws: 2013-12-19 to 2014-01-07 2 draws: 2014-01-07 to 2014-01-09 10 draws: 2014-01-09 to 2014-01-19 51 draws: 2014-01-19 to 2014-03-11 10 draws: 2014-03-11 to 2014-03-21 16 draws: 2014-03-21 to 2014-04-06 Still waiting — at least 9 draws since 2014-04-06 2012-11-08 2012-11-19 2012-11-23 2012-12-01 2012-12-02 2012-12-09 2012-12-13 2012-12-16 2012-12-20 2012-12-28 2012-12-31 2013-01-18 2013-01-26 2013-01-28 2013-01-29 2013-02-11 2013-02-18 2013-02-20 2013-02-22 2013-02-23 2013-02-25 2013-02-27 2013-03-01 2013-03-04 2013-03-09 2013-03-19 2013-03-20 2013-03-28 2013-03-29 2013-04-03 2013-05-01 2013-05-02 2013-05-03 2013-05-08 2013-05-15 2013-05-23 2013-06-04 2013-06-06 2013-06-13 2013-06-17 2013-06-26 2013-06-27 2013-06-30 2013-07-03 2013-07-25 2013-08-11 2013-08-12 2013-08-19 2013-08-21 2013-08-31 2013-09-04 2013-09-05 2013-09-10 2013-09-15 2013-09-17 2013-09-19 2013-10-03 2013-11-03 2013-11-19 2013-11-22 2013-11-24 2013-12-06 2013-12-19 2014-01-07 2014-01-09 2014-01-19 2014-03-11 2014-03-21 2014-04-06 2012-11-04 2014-04-15 a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
1 draws: 10 times 2 draws: 12 times 3 draws: 6 times 4 draws: 5 times 5 draws: 5 times 6 draws: 0 times 7 draws: 5 times 8 draws: 5 times 9 draws: 1 time 10 draws: 4 times 11 draws: 1 time 12 draws: 2 times 13 draws: 2 times 14 draws: 1 time 15 draws: 0 times 16 draws: 2 times 17 draws: 1 time 18 draws: 1 time 19 draws: 1 time 20 draws: 0 times 21 draws: 0 times 22 draws: 1 time 23 draws: 0 times 24 draws: 0 times 25 draws: 0 times 26 draws: 0 times 27 draws: 0 times 28 draws: 1 time 29 draws: 0 times 30 draws: 1 time 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: 0 times 46 draws: 0 times 47 draws: 0 times 48 draws: 0 times 49 draws: 0 times 50 draws: 0 times 51 draws: 1 time 52 draws: 0 times its own waits draws between appearances Where it lands in a sorted draw Sort a draw and 15 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 smallest 9 · chance 9.9 2nd smallest 29 · chance 26.5 3rd smallest 24 · chance 23.5 4th smallest 6 · chance 8.2 5th smallest 1 · chance 0.9 Every position’s lane →
The company it keeps Seen most often with these — chance gives every partner about 7.3 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, 15 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 15 →
Every draw it appeared in ← number 14 Every number number 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: 15 is drawn with probability 5/39 tonight whatever it did last week.