In Powerball under the 5/53 + 1/42 · Oct 2002 – Aug 2005 rules — 302 draws, 5 from 1–53 (an earlier era).
32times drawn · chance expected 28 +0.69σ
0draws waiting — it came up last time
9.6average wait between appearances · chance says 10.6
44longest completed wait · 36% chance of one at least that long
31 is drawn as often as chance explains
Drawn 32 times in 302 draws against 28.5 expected, +0.69σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.
31
Number 31, draw by draw
Drawn 32 times in 302 draws · average wait 9.6 draws · longest completed wait 44 · drawn in the most recent draw
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 31 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.
Never drawn alongside 8 of the other 52 numbers; chance expects about 4 such strangers by now. Every pair →
How many people play it
Under the crowd model, 31 is picked about 1.22× as often as an indifferent choice — 15th 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: 31 is drawn with probability 5/53 tonight whatever it did last week.