In Eurojackpot under the 5/50 + 2/10 · Oct 2014 – Mar 2022 rules — 389 draws, 5 from 1–50 (an earlier era).
34times drawn · chance expected 39 −0.83σ
8draws waiting · a wait this long: 48% for any number
11.2average wait between appearances · chance says 10.0
41longest completed wait · 39% chance of one at least that long
2 is drawn as often as chance explains
Drawn 34 times in 389 draws against 38.9 expected, −0.83σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.
2
Number 2, draw by draw
Drawn 34 times in 389 draws · average wait 11.2 draws · longest completed wait 41 · waiting 8 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.
Never drawn alongside 4 of the other 49 numbers; chance expects about 3 such strangers 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 — 6th most popular of 50. 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 5/50 tonight whatever it did last week.