In Cash Pop under the 1/15 · since Sep 2022 rules — 550 draws, 1 from 1–15.
32times drawn · chance expected 37 −0.80σ
4draws waiting · a wait this long: 81% for any number
17.0average wait between appearances · chance says 15.0
59longest completed wait · 44% chance of one at least that long
1 is drawn as often as chance explains
Drawn 32 times in 550 draws against 36.7 expected, −0.80σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday.
1
Number 1, draw by draw
Drawn 32 times in 550 draws · average wait 17.0 draws · longest completed wait 59 · waiting 4 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.