In Eurojackpot under the 5/50 + 2/8 · Mar 2012 – Oct 2014 rules — 133 draws, 2 from 1–8 (an earlier era).
30times drawn · chance expected 33 −0.65σ
5draws waiting · a wait this long: 32% for any number
4.2average wait between appearances · chance says 4.0
12longest completed wait · 71% chance of one at least that long
2 is drawn as often as chance explains
Drawn 30 times in 133 draws against 33.3 expected, −0.65σ. Each draw is independent: after 5 draws away it is exactly as likely tonight as a number drawn yesterday.
2
Number 2, draw by draw
Drawn 30 times in 133 draws · average wait 4.2 draws · longest completed wait 12 · waiting 5 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 2 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, 2 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: 2 is drawn with probability 2/8 tonight whatever it did last week.