In Bucko under the 5/41 · since May 2025 rules — 494 draws, 5 from 1–41.
54times drawn · chance expected 60 −0.86σ
23draws waiting · a wait this long: 6% for any number
8.3average wait between appearances · chance says 8.2
28longest completed wait · 80% chance of one at least that long
34 is drawn as often as chance explains
Drawn 54 times in 494 draws against 60.2 expected, −0.86σ. Each draw is independent: after 23 draws away it is exactly as likely tonight as a number drawn yesterday.
34
Number 34, draw by draw
Drawn 54 times in 494 draws · average wait 8.3 draws · longest completed wait 28 · waiting 23 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 34 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 0.2 still unmet by now. Every pair →
How many people play it
Under the crowd model, 34 is picked about 0.86× as often as an indifferent choice — 33rd 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: 34 is drawn with probability 5/41 tonight whatever it did last week.