In Cash Pop under the 1/15 · since Sep 2022 rules — 560 draws, 1 from 1–15.
33times drawn · chance expected 37 −0.73σ
2draws waiting · a wait this long: 93% for any number
16.8average wait between appearances · chance says 15.0
59longest completed wait · 45% chance of one at least that long
1 is drawn as often as chance explains
Drawn 33 times in 560 draws against 37.3 expected, −0.73σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.
1
Number 1, draw by draw
Drawn 33 times in 560 draws · average wait 16.8 draws · longest completed wait 59 · waiting 2 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 1 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, 1 is picked about 1.34× as often as an indifferent choice — 6th 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: 1 is drawn with probability 1/15 tonight whatever it did last week.