Cash Ball · every number
21
Number 21 In Cash Ball under the 4/33 · Apr 2010 – Jan 2017 rules — 2,103 draws, 4 from 1–33 (an earlier era).
4/35 + 1/25 · since Jan 2017 4/33 · Apr 2010 – Jan 2017 248 times drawn · chance expected 255 −0.46σ
0 draws waiting — it came up last time
8.5 average wait between appearances · chance says 8.3
44 longest completed wait · 62% chance of one at least that long
21 is drawn as often as chance explains Drawn 248 times in 2,103 draws against 254.9 expected, −0.46σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.
21 Number 21, draw by draw Drawn 248 times in 2,103 draws · average wait 8.5 draws · longest completed wait 44 · drawn in the most recent draw
3 draws: 2010-04-20 to 2010-04-23 40 draws: 2010-04-23 to 2010-06-09 5 draws: 2010-06-09 to 2010-06-15 9 draws: 2010-06-15 to 2010-06-25 3 draws: 2010-06-25 to 2010-06-29 38 draws: 2010-06-29 to 2010-08-12 5 draws: 2010-08-12 to 2010-08-18 3 draws: 2010-08-18 to 2010-08-21 1 draws: 2010-08-21 to 2010-08-23 2 draws: 2010-08-23 to 2010-08-25 5 draws: 2010-08-25 to 2010-08-31 8 draws: 2010-08-31 to 2010-09-09 12 draws: 2010-09-09 to 2010-09-23 10 draws: 2010-09-23 to 2010-10-05 18 draws: 2010-10-05 to 2010-10-26 16 draws: 2010-10-26 to 2010-11-13 6 draws: 2010-11-13 to 2010-11-20 13 draws: 2010-11-20 to 2010-12-06 11 draws: 2010-12-06 to 2010-12-18 1 draws: 2010-12-18 to 2010-12-20 9 draws: 2010-12-20 to 2010-12-30 34 draws: 2010-12-30 to 2011-02-08 2 draws: 2011-02-08 to 2011-02-10 9 draws: 2011-02-10 to 2011-02-21 10 draws: 2011-02-21 to 2011-03-04 5 draws: 2011-03-04 to 2011-03-10 9 draws: 2011-03-10 to 2011-03-21 5 draws: 2011-03-21 to 2011-03-26 19 draws: 2011-03-26 to 2011-04-19 5 draws: 2011-04-19 to 2011-04-25 2 draws: 2011-04-25 to 2011-04-27 3 draws: 2011-04-27 to 2011-04-30 5 draws: 2011-04-30 to 2011-05-06 4 draws: 2011-05-06 to 2011-05-11 11 draws: 2011-05-11 to 2011-05-24 6 draws: 2011-05-24 to 2011-05-31 2 draws: 2011-05-31 to 2011-06-02 35 draws: 2011-06-02 to 2011-07-13 7 draws: 2011-07-13 to 2011-07-21 10 draws: 2011-07-21 to 2011-08-02 1 draws: 2011-08-02 to 2011-08-03 4 draws: 2011-08-03 to 2011-08-08 7 draws: 2011-08-08 to 2011-08-17 12 draws: 2011-08-17 to 2011-08-31 12 draws: 2011-08-31 to 2011-09-14 3 draws: 2011-09-14 to 2011-09-17 9 draws: 2011-09-17 to 2011-09-28 16 draws: 2011-09-28 to 2011-10-18 3 draws: 2011-10-18 to 2011-10-21 3 draws: 2011-10-21 to 2011-10-25 15 draws: 2011-10-25 to 2011-11-11 17 draws: 2011-11-11 to 2011-12-02 8 draws: 2011-12-02 to 2011-12-12 14 draws: 2011-12-12 to 2011-12-28 22 draws: 2011-12-28 to 2012-01-23 31 draws: 2012-01-23 to 2012-02-28 7 draws: 2012-02-28 to 2012-03-07 3 draws: 2012-03-07 to 2012-03-10 9 draws: 2012-03-10 to 2012-03-21 2 draws: 2012-03-21 to 2012-03-23 2 draws: 2012-03-23 to 2012-03-26 6 draws: 2012-03-26 to 2012-04-02 44 draws: 2012-04-02 to 2012-05-25 2 draws: 2012-05-25 to 2012-05-28 8 draws: 2012-05-28 to 2012-06-06 16 draws: 2012-06-06 to 2012-06-25 5 draws: 2012-06-25 to 2012-06-30 3 draws: 2012-06-30 to 2012-07-04 3 draws: 2012-07-04 to 2012-07-07 1 draws: 2012-07-07 to 2012-07-09 6 draws: 2012-07-09 to 2012-07-16 23 draws: 2012-07-16 to 2012-08-16 4 draws: 2012-08-16 to 2012-08-21 12 draws: 2012-08-21 to 2012-09-04 1 draws: 2012-09-04 to 2012-09-05 20 draws: 2012-09-05 to 2012-09-28 10 draws: 2012-09-28 to 2012-10-10 14 draws: 2012-10-10 to 2012-10-26 11 draws: 2012-10-26 to 2012-11-08 1 draws: 2012-11-08 to 2012-11-09 1 draws: 2012-11-09 to 2012-11-10 4 draws: 2012-11-10 to 2012-11-15 6 draws: 2012-11-15 to 2012-11-22 25 draws: 2012-11-22 to 2012-12-21 6 draws: 2012-12-21 to 2012-12-28 4 draws: 2012-12-28 to 2013-01-02 2 draws: 2013-01-02 to 2013-01-04 2 draws: 2013-01-04 to 2013-01-07 9 draws: 2013-01-07 to 2013-01-17 5 draws: 2013-01-17 to 2013-01-23 3 draws: 2013-01-23 to 2013-01-26 4 draws: 2013-01-26 to 2013-01-31 3 draws: 2013-01-31 to 2013-02-04 1 draws: 2013-02-04 to 2013-02-05 15 draws: 2013-02-05 to 2013-02-22 19 draws: 2013-02-22 to 2013-03-16 10 draws: 2013-03-16 to 2013-03-28 16 draws: 2013-03-28 to 2013-04-16 4 draws: 2013-04-16 to 2013-04-20 12 draws: 2013-04-20 to 2013-05-04 10 draws: 2013-05-04 to 2013-05-16 1 draws: 2013-05-16 to 2013-05-17 1 draws: 2013-05-17 to 2013-05-18 5 draws: 2013-05-18 to 2013-05-24 9 draws: 2013-05-24 to 2013-06-04 12 draws: 2013-06-04 to 2013-06-18 3 draws: 2013-06-18 to 2013-06-21 6 draws: 2013-06-21 to 2013-06-28 11 draws: 2013-06-28 to 2013-07-11 11 draws: 2013-07-11 to 2013-07-24 9 draws: 2013-07-24 to 2013-08-03 11 draws: 2013-08-03 to 2013-08-16 20 draws: 2013-08-16 to 2013-09-09 12 draws: 2013-09-09 to 2013-09-23 3 draws: 2013-09-23 to 2013-09-26 7 draws: 2013-09-26 to 2013-10-04 4 draws: 2013-10-04 to 2013-10-09 3 draws: 2013-10-09 to 2013-10-12 4 draws: 2013-10-12 to 2013-10-17 18 draws: 2013-10-17 to 2013-11-08 2 draws: 2013-11-08 to 2013-11-11 6 draws: 2013-11-11 to 2013-11-18 2 draws: 2013-11-18 to 2013-11-20 9 draws: 2013-11-20 to 2013-11-30 4 draws: 2013-11-30 to 2013-12-05 12 draws: 2013-12-05 to 2013-12-19 4 draws: 2013-12-19 to 2013-12-24 13 draws: 2013-12-24 to 2014-01-08 15 draws: 2014-01-08 to 2014-01-25 5 draws: 2014-01-25 to 2014-01-31 6 draws: 2014-01-31 to 2014-02-07 14 draws: 2014-02-07 to 2014-02-24 2 draws: 2014-02-24 to 2014-02-26 4 draws: 2014-02-26 to 2014-03-03 9 draws: 2014-03-03 to 2014-03-13 8 draws: 2014-03-13 to 2014-03-22 1 draws: 2014-03-22 to 2014-03-24 10 draws: 2014-03-24 to 2014-04-04 17 draws: 2014-04-04 to 2014-04-24 1 draws: 2014-04-24 to 2014-04-25 17 draws: 2014-04-25 to 2014-05-15 3 draws: 2014-05-15 to 2014-05-19 1 draws: 2014-05-19 to 2014-05-20 12 draws: 2014-05-20 to 2014-06-03 4 draws: 2014-06-03 to 2014-06-07 2 draws: 2014-06-07 to 2014-06-10 19 draws: 2014-06-10 to 2014-07-02 1 draws: 2014-07-02 to 2014-07-03 7 draws: 2014-07-03 to 2014-07-11 6 draws: 2014-07-11 to 2014-07-18 1 draws: 2014-07-18 to 2014-07-19 21 draws: 2014-07-19 to 2014-08-13 3 draws: 2014-08-13 to 2014-08-16 2 draws: 2014-08-16 to 2014-08-19 4 draws: 2014-08-19 to 2014-08-23 26 draws: 2014-08-23 to 2014-09-23 1 draws: 2014-09-23 to 2014-09-24 23 draws: 2014-09-24 to 2014-10-21 3 draws: 2014-10-21 to 2014-10-24 5 draws: 2014-10-24 to 2014-10-30 8 draws: 2014-10-30 to 2014-11-08 10 draws: 2014-11-08 to 2014-11-20 13 draws: 2014-11-20 to 2014-12-05 3 draws: 2014-12-05 to 2014-12-09 28 draws: 2014-12-09 to 2015-01-10 7 draws: 2015-01-10 to 2015-01-19 8 draws: 2015-01-19 to 2015-01-28 22 draws: 2015-01-28 to 2015-02-23 2 draws: 2015-02-23 to 2015-02-25 7 draws: 2015-02-25 to 2015-03-05 2 draws: 2015-03-05 to 2015-03-07 1 draws: 2015-03-07 to 2015-03-09 7 draws: 2015-03-09 to 2015-03-17 19 draws: 2015-03-17 to 2015-04-08 19 draws: 2015-04-08 to 2015-04-30 1 draws: 2015-04-30 to 2015-05-01 2 draws: 2015-05-01 to 2015-05-04 4 draws: 2015-05-04 to 2015-05-08 7 draws: 2015-05-08 to 2015-05-16 5 draws: 2015-05-16 to 2015-05-22 1 draws: 2015-05-22 to 2015-05-23 7 draws: 2015-05-23 to 2015-06-01 5 draws: 2015-06-01 to 2015-06-06 1 draws: 2015-06-06 to 2015-06-08 3 draws: 2015-06-08 to 2015-06-11 13 draws: 2015-06-11 to 2015-06-26 1 draws: 2015-06-26 to 2015-06-27 19 draws: 2015-06-27 to 2015-07-20 4 draws: 2015-07-20 to 2015-07-24 12 draws: 2015-07-24 to 2015-08-07 6 draws: 2015-08-07 to 2015-08-14 6 draws: 2015-08-14 to 2015-08-21 5 draws: 2015-08-21 to 2015-08-27 7 draws: 2015-08-27 to 2015-09-04 1 draws: 2015-09-04 to 2015-09-05 10 draws: 2015-09-05 to 2015-09-17 11 draws: 2015-09-17 to 2015-09-30 14 draws: 2015-09-30 to 2015-10-16 5 draws: 2015-10-16 to 2015-10-22 6 draws: 2015-10-22 to 2015-10-29 4 draws: 2015-10-29 to 2015-11-03 3 draws: 2015-11-03 to 2015-11-06 3 draws: 2015-11-06 to 2015-11-10 8 draws: 2015-11-10 to 2015-11-19 6 draws: 2015-11-19 to 2015-11-26 2 draws: 2015-11-26 to 2015-11-28 28 draws: 2015-11-28 to 2015-12-31 13 draws: 2015-12-31 to 2016-01-15 2 draws: 2016-01-15 to 2016-01-18 19 draws: 2016-01-18 to 2016-02-09 1 draws: 2016-02-09 to 2016-02-10 2 draws: 2016-02-10 to 2016-02-12 6 draws: 2016-02-12 to 2016-02-19 28 draws: 2016-02-19 to 2016-03-23 14 draws: 2016-03-23 to 2016-04-08 12 draws: 2016-04-08 to 2016-04-22 4 draws: 2016-04-22 to 2016-04-27 2 draws: 2016-04-27 to 2016-04-29 32 draws: 2016-04-29 to 2016-06-06 1 draws: 2016-06-06 to 2016-06-07 6 draws: 2016-06-07 to 2016-06-14 4 draws: 2016-06-14 to 2016-06-18 19 draws: 2016-06-18 to 2016-07-11 1 draws: 2016-07-11 to 2016-07-12 6 draws: 2016-07-12 to 2016-07-19 6 draws: 2016-07-19 to 2016-07-26 3 draws: 2016-07-26 to 2016-07-29 2 draws: 2016-07-29 to 2016-08-01 6 draws: 2016-08-01 to 2016-08-08 7 draws: 2016-08-08 to 2016-08-16 18 draws: 2016-08-16 to 2016-09-06 4 draws: 2016-09-06 to 2016-09-10 4 draws: 2016-09-10 to 2016-09-15 6 draws: 2016-09-15 to 2016-09-22 5 draws: 2016-09-22 to 2016-09-28 4 draws: 2016-09-28 to 2016-10-03 5 draws: 2016-10-03 to 2016-10-08 4 draws: 2016-10-08 to 2016-10-13 8 draws: 2016-10-13 to 2016-10-22 9 draws: 2016-10-22 to 2016-11-02 5 draws: 2016-11-02 to 2016-11-08 16 draws: 2016-11-08 to 2016-11-26 2 draws: 2016-11-26 to 2016-11-29 7 draws: 2016-11-29 to 2016-12-07 5 draws: 2016-12-07 to 2016-12-13 1 draws: 2016-12-13 to 2016-12-14 19 draws: 2016-12-14 to 2017-01-05 2010-04-20 2010-04-23 2010-06-09 2010-06-15 2010-06-25 2010-06-29 2010-08-12 2010-08-18 2010-08-21 2010-08-23 2010-08-25 2010-08-31 2010-09-09 2010-09-23 2010-10-05 2010-10-26 2010-11-13 2010-11-20 2010-12-06 2010-12-18 2010-12-20 2010-12-30 2011-02-08 2011-02-10 2011-02-21 2011-03-04 2011-03-10 2011-03-21 2011-03-26 2011-04-19 2011-04-25 2011-04-27 2011-04-30 2011-05-06 2011-05-11 2011-05-24 2011-05-31 2011-06-02 2011-07-13 2011-07-21 2011-08-02 2011-08-03 2011-08-08 2011-08-17 2011-08-31 2011-09-14 2011-09-17 2011-09-28 2011-10-18 2011-10-21 2011-10-25 2011-11-11 2011-12-02 2011-12-12 2011-12-28 2012-01-23 2012-02-28 2012-03-07 2012-03-10 2012-03-21 2012-03-23 2012-03-26 2012-04-02 2012-05-25 2012-05-28 2012-06-06 2012-06-25 2012-06-30 2012-07-04 2012-07-07 2012-07-09 2012-07-16 2012-08-16 2012-08-21 2012-09-04 2012-09-05 2012-09-28 2012-10-10 2012-10-26 2012-11-08 2012-11-09 2012-11-10 2012-11-15 2012-11-22 2012-12-21 2012-12-28 2013-01-02 2013-01-04 2013-01-07 2013-01-17 2013-01-23 2013-01-26 2013-01-31 2013-02-04 2013-02-05 2013-02-22 2013-03-16 2013-03-28 2013-04-16 2013-04-20 2013-05-04 2013-05-16 2013-05-17 2013-05-18 2013-05-24 2013-06-04 2013-06-18 2013-06-21 2013-06-28 2013-07-11 2013-07-24 2013-08-03 2013-08-16 2013-09-09 2013-09-23 2013-09-26 2013-10-04 2013-10-09 2013-10-12 2013-10-17 2013-11-08 2013-11-11 2013-11-18 2013-11-20 2013-11-30 2013-12-05 2013-12-19 2013-12-24 2014-01-08 2014-01-25 2014-01-31 2014-02-07 2014-02-24 2014-02-26 2014-03-03 2014-03-13 2014-03-22 2014-03-24 2014-04-04 2014-04-24 2014-04-25 2014-05-15 2014-05-19 2014-05-20 2014-06-03 2014-06-07 2014-06-10 2014-07-02 2014-07-03 2014-07-11 2014-07-18 2014-07-19 2014-08-13 2014-08-16 2014-08-19 2014-08-23 2014-09-23 2014-09-24 2014-10-21 2014-10-24 2014-10-30 2014-11-08 2014-11-20 2014-12-05 2014-12-09 2015-01-10 2015-01-19 2015-01-28 2015-02-23 2015-02-25 2015-03-05 2015-03-07 2015-03-09 2015-03-17 2015-04-08 2015-04-30 2015-05-01 2015-05-04 2015-05-08 2015-05-16 2015-05-22 2015-05-23 2015-06-01 2015-06-06 2015-06-08 2015-06-11 2015-06-26 2015-06-27 2015-07-20 2015-07-24 2015-08-07 2015-08-14 2015-08-21 2015-08-27 2015-09-04 2015-09-05 2015-09-17 2015-09-30 2015-10-16 2015-10-22 2015-10-29 2015-11-03 2015-11-06 2015-11-10 2015-11-19 2015-11-26 2015-11-28 2015-12-31 2016-01-15 2016-01-18 2016-02-09 2016-02-10 2016-02-12 2016-02-19 2016-03-23 2016-04-08 2016-04-22 2016-04-27 2016-04-29 2016-06-06 2016-06-07 2016-06-14 2016-06-18 2016-07-11 2016-07-12 2016-07-19 2016-07-26 2016-07-29 2016-08-01 2016-08-08 2016-08-16 2016-09-06 2016-09-10 2016-09-15 2016-09-22 2016-09-28 2016-10-03 2016-10-08 2016-10-13 2016-10-22 2016-11-02 2016-11-08 2016-11-26 2016-11-29 2016-12-07 2016-12-13 2016-12-14 2017-01-05 2010-04-07 2017-01-05
1 draws: 26 times 2 draws: 23 times 3 draws: 23 times 4 draws: 23 times 5 draws: 20 times 6 draws: 20 times 7 draws: 13 times 8 draws: 8 times 9 draws: 12 times 10 draws: 9 times 11 draws: 7 times 12 draws: 11 times 13 draws: 5 times 14 draws: 5 times 15 draws: 3 times 16 draws: 5 times 17 draws: 3 times 18 draws: 3 times 19 draws: 9 times 20 draws: 2 times 21 draws: 1 time 22 draws: 2 times 23 draws: 2 times 24 draws: 0 times 25 draws: 1 time 26 draws: 1 time 27 draws: 0 times 28 draws: 3 times 29 draws: 0 times 30 draws: 0 times 31 draws: 1 time 32 draws: 1 time 33 draws: 0 times 34 draws: 1 time 35 draws: 1 time 36 draws: 0 times 37 draws: 0 times 38 draws: 1 time 39 draws: 0 times 40 draws: 1 time 41 draws: 0 times 42 draws: 0 times 43 draws: 0 times 44 draws: 1 time 45 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 5 · chance 11.0 2nd smallest 70 · chance 66.0 3rd smallest 118 · chance 114.0 4th smallest 55 · chance 57.0 Every position’s lane →
The company it keeps Seen most often with these — chance gives every partner about 23.3 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 32 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 33. 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 4/33 tonight whatever it did last week.