In Powerball under the 5/53 + 1/42 · Oct 2002 – Aug 2005 rules — 302 draws, 5 from 1–53 (an earlier era).
31times drawn · chance expected 28 +0.49σ
11draws waiting · a wait this long: 37% for any number
9.1average wait between appearances · chance says 10.6
34longest completed wait · 69% chance of one at least that long
6 is drawn as often as chance explains
Drawn 31 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.
6
Number 6, draw by draw
Drawn 31 times in 302 draws · average wait 9.1 draws · longest completed wait 34 · 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 6 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 7 of the other 52 numbers; chance expects about 5 such strangers by now. Every pair →
How many people play it
Under the crowd model, 6 is picked about 1.34× as often as an indifferent choice — 6th 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: 6 is drawn with probability 5/53 tonight whatever it did last week.