In EuroMillions under the 5/50 + 2/11 · May 2011 – Sep 2016 rules — 562 draws, 5 from 1–50 (an earlier era).
45times drawn · chance expected 56 −1.57σ
9draws waiting · a wait this long: 43% for any number
11.8average wait between appearances · chance says 10.0
49longest completed wait · 24% chance of one at least that long
2 is drawn as often as chance explains
Drawn 45 times in 562 draws against 56.2 expected, −1.57σ. Each draw is independent: after 9 draws away it is exactly as likely tonight as a number drawn yesterday.
2
Number 2, draw by draw
Drawn 45 times in 562 draws · average wait 11.8 draws · longest completed wait 49 · waiting 9 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 2 of the other 49 numbers; chance expects about 1 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.