In Lotto under the 6/52 · Jan 2010 – Oct 2012 rules — 442 draws, 6 from 1–52 (an earlier era).
46times drawn · chance expected 51 −0.74σ
7draws waiting · a wait this long: 48% for any number
9.6average wait between appearances · chance says 8.7
64longest completed wait · 2% chance of one at least that long
34 is drawn as often as chance explains
Drawn 46 times in 442 draws against 51.0 expected, −0.74σ. Each draw is independent: after 7 draws away it is exactly as likely tonight as a number drawn yesterday.
34
Number 34, draw by draw
Drawn 46 times in 442 draws · average wait 9.6 draws · longest completed wait 64 · waiting 7 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 51 numbers; chance expected about 0.6 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 — 34th most popular of 52. 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 6/52 tonight whatever it did last week.