In Eurojackpot under the 5/50 + 2/12 · since Mar 2022 rules — 475 draws, 5 from 1–50.
45times drawn · chance expected 48 −0.38σ
10draws waiting · a wait this long: 39% for any number
10.5average wait between appearances · chance says 10.0
38longest completed wait · 59% chance of one at least that long
31 is drawn as often as chance explains
Drawn 45 times in 475 draws against 47.5 expected, −0.38σ. Each draw is independent: after 10 draws away it is exactly as likely tonight as a number drawn yesterday.
31
Number 31, draw by draw
Drawn 45 times in 475 draws · average wait 10.5 draws · longest completed wait 38 · waiting 10 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 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 1 of the other 49 numbers; chance expects about 1 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 50. 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 5/50 tonight whatever it did last week.