In Lotto under the 6/45 + 1/45 · Jan 2010 – Oct 2015 rules — 601 draws, 6 from 1–45 (an earlier era).
76times drawn · chance expected 80 −0.50σ
4draws waiting · a wait this long: 65% for any number
7.9average wait between appearances · chance says 7.5
28longest completed wait · 80% chance of one at least that long
41 is drawn as often as chance explains
Drawn 76 times in 601 draws against 80.1 expected, −0.50σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 15 times, counted separately.
41
Number 41, draw by draw
Drawn 76 times in 601 draws · average wait 7.9 draws · longest completed wait 28 · waiting 4 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 41 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 44 numbers; chance expected about 0.0 still unmet by now. Every pair →
How many people play it
Under the crowd model, 41 is picked about 0.86× as often as an indifferent choice — 33rd most popular of 45. 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: 41 is drawn with probability 6/45 tonight whatever it did last week.