In EuroMillions under the 5/50 + 2/9 · Feb 2004 – May 2011 rules — 378 draws, 2 from 1–9 (an earlier era).
73times drawn · chance expected 84 −1.36σ
1draws waiting · a wait this long: >99% for any number
5.2average wait between appearances · chance says 4.5
19longest completed wait · 54% chance of one at least that long
2 is drawn as often as chance explains
Drawn 73 times in 378 draws against 84.0 expected, −1.36σ. Each draw is independent: after 1 draws away it is exactly as likely tonight as a number drawn yesterday.
2
Number 2, draw by draw
Drawn 73 times in 378 draws · average wait 5.2 draws · longest completed wait 19 · waiting 1 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 8 numbers; chance expected about 0.0 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 — 5th most popular of 9. 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 2/9 tonight whatever it did last week.