In Powerball under the 6/40 + 1/20 · Mar 2013 – Apr 2018 rules — 267 draws, 6 from 1–40 (an earlier era).
42times drawn · chance expected 40 +0.33σ
11draws waiting · a wait this long: 20% for any number
6.0average wait between appearances · chance says 6.7
20longest completed wait · 85% chance of one at least that long
13 is drawn as often as chance explains
Drawn 42 times in 267 draws against 40.0 expected, +0.33σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday.
13
Number 13, draw by draw
Drawn 42 times in 267 draws · average wait 6.0 draws · longest completed wait 20 · 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 13 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, 13 is picked about 0.92× as often as an indifferent choice — 31st 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: 13 is drawn with probability 6/40 tonight whatever it did last week.