In Powerball under the 5/55 + 1/42 · Aug 2005 – Jan 2009 rules — 350 draws, 5 from 1–55 (an earlier era).
29times drawn · chance expected 32 −0.52σ
21draws waiting · a wait this long: 15% for any number
11.6average wait between appearances · chance says 11.0
24longest completed wait · 96% chance of one at least that long
10 is drawn as often as chance explains
Drawn 29 times in 350 draws against 31.8 expected, −0.52σ. Each draw is independent: after 21 draws away it is exactly as likely tonight as a number drawn yesterday.
10
Number 10, draw by draw
Drawn 29 times in 350 draws · average wait 11.6 draws · longest completed wait 24 · waiting 21 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 10 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 54 numbers; chance expects about 6 such strangers by now. Every pair →
How many people play it
Under the crowd model, 10 is picked about 1.41× as often as an indifferent choice — 5th most popular of 55. 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: 10 is drawn with probability 5/55 tonight whatever it did last week.