In Powerball under the 5/53 + 1/42 · Oct 2002 – Aug 2005 rules — 302 draws, 5 from 1–53 (an earlier era).
26times drawn · chance expected 28 −0.49σ
11draws waiting · a wait this long: 37% for any number
10.2average wait between appearances · chance says 10.6
58longest completed wait · 8% chance of one at least that long
7 is drawn as often as chance explains
Drawn 26 times in 302 draws against 28.5 expected, −0.49σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday.
7
Number 7, draw by draw
Drawn 26 times in 302 draws · average wait 10.2 draws · longest completed wait 58 · 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 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.
Never drawn alongside 5 of the other 52 numbers; chance expects about 7 such strangers 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 53. 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 5/53 tonight whatever it did last week.