In Cash Pop under the 1/15 · since Apr 2023 rules — 868 draws, 1 from 1–15.
54times drawn · chance expected 58 −0.53σ
11draws waiting · a wait this long: 50% for any number
16.0average wait between appearances · chance says 15.0
77longest completed wait · 24% chance of one at least that long
3 is drawn as often as chance explains
Drawn 54 times in 868 draws against 57.9 expected, −0.53σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday.
3
Number 3, draw by draw
Drawn 54 times in 868 draws · average wait 16.0 draws · longest completed wait 77 · waiting 11 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 3 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
Never drawn alongside 14 of the other 14 numbers; chance expects about 14 such strangers by now. Every pair →
How many people play it
Under the crowd model, 3 is picked about 1.48× as often as an indifferent choice — 2nd most popular of 15. 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: 3 is drawn with probability 1/15 tonight whatever it did last week.