In Bucko under the 5/41 · since May 2025 rules — 483 draws, 5 from 1–41.
70times drawn · chance expected 59 +1.54σ
0draws waiting — it came up last time
6.9average wait between appearances · chance says 8.2
34longest completed wait · 61% chance of one at least that long
31 is drawn as often as chance explains
Drawn 70 times in 483 draws against 58.9 expected, +1.54σ. 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 70 times in 483 draws · average wait 6.9 draws · longest completed wait 34 · 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.
It has shared a draw with every one of the other 40 numbers; chance expected about 0.0 still unmet 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 41. 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 5/41 tonight whatever it did last week.