In Eurojackpot under the 5/50 + 2/8 · Mar 2012 – Oct 2014 rules — 133 draws, 2 from 1–8 (an earlier era).
27times drawn · chance expected 33 −1.25σ
2draws waiting · a wait this long: 75% for any number
5.0average wait between appearances · chance says 4.0
19longest completed wait · 14% chance of one at least that long
1 is drawn as often as chance explains
Drawn 27 times in 133 draws against 33.3 expected, −1.25σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.
1
Number 1, draw by draw
Drawn 27 times in 133 draws · average wait 5.0 draws · longest completed wait 19 · 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 1 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
It has shared a draw with every one of the other 7 numbers; chance expected about 0.1 still unmet by now. Every pair →
How many people play it
Under the crowd model, 1 is picked about 1.34× as often as an indifferent choice — 4th most popular of 8. 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: 1 is drawn with probability 2/8 tonight whatever it did last week.