In Megabucks Plus under the 5/41 + 1/6 · since Apr 2023 rules — 527 draws, 5 from 1–41.
66times drawn · chance expected 64 +0.23σ
2draws waiting · a wait this long: 88% for any number
8.1average wait between appearances · chance says 8.2
39longest completed wait · 37% chance of one at least that long
31 is drawn as often as chance explains
Drawn 66 times in 527 draws against 64.3 expected, +0.23σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.
31
Number 31, draw by draw
Drawn 66 times in 527 draws · average wait 8.1 draws · longest completed wait 39 · waiting 2 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.
It has shared a draw with every one of the other 40 numbers; chance expected about 0.1 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.