In EuroDreams under the 6/40 + 1/5 · since Nov 2023 rules — 308 draws, 6 from 1–40.
40times drawn · chance expected 46 −0.99σ
0draws waiting — it came up last time
7.8average wait between appearances · chance says 6.7
41longest completed wait · 6% chance of one at least that long
31 is drawn as often as chance explains
Drawn 40 times in 308 draws against 46.2 expected, −0.99σ. 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 40 times in 308 draws · average wait 7.8 draws · longest completed wait 41 · 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 1 of the other 39 numbers; chance expects about 0.2 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 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: 31 is drawn with probability 6/40 tonight whatever it did last week.