In EuroMillions under the 5/50 + 2/9 · Feb 2004 – May 2011 rules — 378 draws, 5 from 1–50 (an earlier era).
54times drawn · chance expected 38 +2.78σ
4draws waiting · a wait this long: 73% for any number
7.0average wait between appearances · chance says 10.0
25longest completed wait · 99% chance of one at least that long
50 looks unusual on its own — and unremarkable among 50 numbers
Drawn 54 times in 378 draws against 37.8 expected, +2.78σ. Testing all 50 numbers at once means about 0.5 should look this way by luck alone, so the threshold tightens to 2.0e-4 and this does not pass it.
50
Number 50, draw by draw
Drawn 54 times in 378 draws · average wait 7.0 draws · longest completed wait 25 · waiting 4 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 50 has a favourite seat — chance gives a large number the high 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 0.6 such strangers by now. Every pair →
How many people play it
Under the crowd model, 50 is picked about 0.90× as often as an indifferent choice — 32nd 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: 50 is drawn with probability 5/50 tonight whatever it did last week.