Cash 5 · every number
21
Number 21 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 82 times drawn · chance expected 68 +1.88σ
6 draws waiting · a wait this long: 50% for any number
6.3 average wait between appearances · chance says 7.8
24 longest completed wait · 97% chance of one at least that long
21 is drawn as often as chance explains Drawn 82 times in 527 draws against 67.6 expected, +1.88σ. Each draw is independent: after 6 draws away it is exactly as likely tonight as a number drawn yesterday.
21 Number 21, draw by draw Drawn 82 times in 527 draws · average wait 6.3 draws · longest completed wait 24 · waiting 6 draws now
10 draws: 2012-11-10 to 2012-11-20 6 draws: 2012-11-20 to 2012-11-26 15 draws: 2012-11-26 to 2012-12-11 2 draws: 2012-12-11 to 2012-12-13 1 draws: 2012-12-13 to 2012-12-14 5 draws: 2012-12-14 to 2012-12-19 10 draws: 2012-12-19 to 2012-12-29 3 draws: 2012-12-29 to 2013-01-01 4 draws: 2013-01-01 to 2013-01-05 6 draws: 2013-01-05 to 2013-01-11 8 draws: 2013-01-11 to 2013-01-19 2 draws: 2013-01-19 to 2013-01-21 2 draws: 2013-01-21 to 2013-01-23 7 draws: 2013-01-23 to 2013-01-30 4 draws: 2013-01-30 to 2013-02-03 5 draws: 2013-02-03 to 2013-02-08 4 draws: 2013-02-08 to 2013-02-12 2 draws: 2013-02-12 to 2013-02-14 4 draws: 2013-02-14 to 2013-02-18 2 draws: 2013-02-18 to 2013-02-20 9 draws: 2013-02-20 to 2013-03-01 3 draws: 2013-03-01 to 2013-03-04 4 draws: 2013-03-04 to 2013-03-08 1 draws: 2013-03-08 to 2013-03-09 4 draws: 2013-03-09 to 2013-03-13 12 draws: 2013-03-13 to 2013-03-25 1 draws: 2013-03-25 to 2013-03-26 16 draws: 2013-03-26 to 2013-04-11 3 draws: 2013-04-11 to 2013-04-14 5 draws: 2013-04-14 to 2013-04-19 10 draws: 2013-04-19 to 2013-04-29 1 draws: 2013-04-29 to 2013-04-30 13 draws: 2013-04-30 to 2013-05-13 7 draws: 2013-05-13 to 2013-05-20 2 draws: 2013-05-20 to 2013-05-22 3 draws: 2013-05-22 to 2013-05-25 8 draws: 2013-05-25 to 2013-06-02 12 draws: 2013-06-02 to 2013-06-14 4 draws: 2013-06-14 to 2013-06-18 2 draws: 2013-06-18 to 2013-06-20 1 draws: 2013-06-20 to 2013-06-21 10 draws: 2013-06-21 to 2013-07-01 21 draws: 2013-07-01 to 2013-07-22 11 draws: 2013-07-22 to 2013-08-02 1 draws: 2013-08-02 to 2013-08-03 8 draws: 2013-08-03 to 2013-08-11 12 draws: 2013-08-11 to 2013-08-23 6 draws: 2013-08-23 to 2013-08-29 8 draws: 2013-08-29 to 2013-09-06 4 draws: 2013-09-06 to 2013-09-10 3 draws: 2013-09-10 to 2013-09-13 14 draws: 2013-09-13 to 2013-09-27 11 draws: 2013-09-27 to 2013-10-08 6 draws: 2013-10-08 to 2013-10-14 2 draws: 2013-10-14 to 2013-10-16 4 draws: 2013-10-16 to 2013-10-20 4 draws: 2013-10-20 to 2013-10-24 20 draws: 2013-10-24 to 2013-11-14 12 draws: 2013-11-14 to 2013-11-26 1 draws: 2013-11-26 to 2013-11-27 1 draws: 2013-11-27 to 2013-11-28 1 draws: 2013-11-28 to 2013-11-29 6 draws: 2013-11-29 to 2013-12-05 23 draws: 2013-12-05 to 2013-12-28 24 draws: 2013-12-28 to 2014-01-21 6 draws: 2014-01-21 to 2014-01-27 4 draws: 2014-01-27 to 2014-01-31 3 draws: 2014-01-31 to 2014-02-03 7 draws: 2014-02-03 to 2014-02-10 8 draws: 2014-02-10 to 2014-02-18 5 draws: 2014-02-18 to 2014-02-23 6 draws: 2014-02-23 to 2014-03-01 4 draws: 2014-03-01 to 2014-03-05 12 draws: 2014-03-05 to 2014-03-17 3 draws: 2014-03-17 to 2014-03-20 10 draws: 2014-03-20 to 2014-03-30 1 draws: 2014-03-30 to 2014-03-31 2 draws: 2014-03-31 to 2014-04-02 3 draws: 2014-04-02 to 2014-04-05 3 draws: 2014-04-05 to 2014-04-08 1 draws: 2014-04-08 to 2014-04-09 Still waiting — at least 6 draws since 2014-04-09 2012-11-10 2012-11-20 2012-11-26 2012-12-11 2012-12-13 2012-12-14 2012-12-19 2012-12-29 2013-01-01 2013-01-05 2013-01-11 2013-01-19 2013-01-21 2013-01-23 2013-01-30 2013-02-03 2013-02-08 2013-02-12 2013-02-14 2013-02-18 2013-02-20 2013-03-01 2013-03-04 2013-03-08 2013-03-09 2013-03-13 2013-03-25 2013-03-26 2013-04-11 2013-04-14 2013-04-19 2013-04-29 2013-04-30 2013-05-13 2013-05-20 2013-05-22 2013-05-25 2013-06-02 2013-06-14 2013-06-18 2013-06-20 2013-06-21 2013-07-01 2013-07-22 2013-08-02 2013-08-03 2013-08-11 2013-08-23 2013-08-29 2013-09-06 2013-09-10 2013-09-13 2013-09-27 2013-10-08 2013-10-14 2013-10-16 2013-10-20 2013-10-24 2013-11-14 2013-11-26 2013-11-27 2013-11-28 2013-11-29 2013-12-05 2013-12-28 2014-01-21 2014-01-27 2014-01-31 2014-02-03 2014-02-10 2014-02-18 2014-02-23 2014-03-01 2014-03-05 2014-03-17 2014-03-20 2014-03-30 2014-03-31 2014-04-02 2014-04-05 2014-04-08 2014-04-09 2012-11-04 2014-04-15
1 draws: 11 times 2 draws: 9 times 3 draws: 9 times 4 draws: 12 times 5 draws: 4 times 6 draws: 7 times 7 draws: 3 times 8 draws: 5 times 9 draws: 1 time 10 draws: 5 times 11 draws: 2 times 12 draws: 5 times 13 draws: 1 time 14 draws: 1 time 15 draws: 1 time 16 draws: 1 time 17 draws: 0 times 18 draws: 0 times 19 draws: 0 times 20 draws: 1 time 21 draws: 1 time 22 draws: 0 times 23 draws: 1 time 24 draws: 1 time 25 draws: 0 times its own waits draws between appearances Where it lands in a sorted draw Sort a draw and 21 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 3.4 2nd smallest 16 · chance 18.1 3rd smallest 37 · chance 32.3 4th smallest 22 · chance 22.8 5th smallest 7 · chance 5.4 Every position’s lane →
The company it keeps Seen most often with these — chance gives every partner about 8.6 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, 21 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 21 →
Every draw it appeared in ← number 20 Every number number 22 → 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: 21 is drawn with probability 5/39 tonight whatever it did last week.