In Powerball under the 6/40 + 1/20 · Mar 2013 – Apr 2018 rules — 267 draws, 6 from 1–40 (an earlier era).
41times drawn · chance expected 40 +0.16σ
2draws waiting · a wait this long: 85% for any number
6.5average wait between appearances · chance says 6.7
19longest completed wait · 89% chance of one at least that long
7 is drawn as often as chance explains
Drawn 41 times in 267 draws against 40.0 expected, +0.16σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.
7
Number 7, draw by draw
Drawn 41 times in 267 draws · average wait 6.5 draws · longest completed wait 19 · 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 7 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 39 numbers; chance expected about 0.2 still unmet by now. Every pair →
How many people play it
Under the crowd model, 7 is picked about 1.54× as often as an indifferent choice — 1st most popular of 40. 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: 7 is drawn with probability 6/40 tonight whatever it did last week.