In Cash 5 under the 5/39 · Nov 2012 – Apr 2014 rules — 527 draws, 5 from 1–39 (an earlier era).
59times drawn · chance expected 68 −1.12σ
3draws waiting · a wait this long: 76% for any number
8.9average wait between appearances · chance says 7.8
37longest completed wait · 34% chance of one at least that long
2 is drawn as often as chance explains
Drawn 59 times in 527 draws against 67.6 expected, −1.12σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.
2
Number 2, draw by draw
Drawn 59 times in 527 draws · average wait 8.9 draws · longest completed wait 37 · waiting 3 draws now
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 2 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
It has shared a draw with every one of the other 38 numbers; chance expected about 0.1 still unmet by now. Every pair →
How many people play it
Under the crowd model, 2 is picked about 1.34× as often as an indifferent choice — 6th 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.
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: 2 is drawn with probability 5/39 tonight whatever it did last week.