In Lotto under the 6/52 + 1/25 · Oct 2012 – Jan 2015 rules — 339 draws, 6 from 1–52 (an earlier era).
31times drawn · chance expected 39 −1.38σ
14draws waiting · a wait this long: 20% for any number
10.5average wait between appearances · chance says 8.7
76longest completed wait · 0.3% chance of one at least that long
39 is drawn as often as chance explains
Drawn 31 times in 339 draws against 39.1 expected, −1.38σ. Each draw is independent: after 14 draws away it is exactly as likely tonight as a number drawn yesterday.
39
Number 39, draw by draw
Drawn 31 times in 339 draws · average wait 10.5 draws · longest completed wait 76 · waiting 14 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 39 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.
It has shared a draw with every one of the other 51 numbers; chance expected about 2 still unmet by now. Every pair →
How many people play it
Under the crowd model, 39 is picked about 0.86× as often as an indifferent choice — 34th most popular of 52. 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: 39 is drawn with probability 6/52 tonight whatever it did last week.