In EuroMillions under the 5/50 + 2/9 · Feb 2004 – May 2011 rules — 378 draws, 5 from 1–50 (an earlier era).
42times drawn · chance expected 38 +0.72σ
20draws waiting · a wait this long: 14% for any number
8.7average wait between appearances · chance says 10.0
24longest completed wait · 98% chance of one at least that long
29 is drawn as often as chance explains
Drawn 42 times in 378 draws against 37.8 expected, +0.72σ. Each draw is independent: after 20 draws away it is exactly as likely tonight as a number drawn yesterday.
29
Number 29, draw by draw
Drawn 42 times in 378 draws · average wait 8.7 draws · longest completed wait 24 · waiting 20 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 29 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.
It has shared a draw with every one of the other 49 numbers; chance expected about 2 still unmet by now. Every pair →
How many people play it
Under the crowd model, 29 is picked about 1.22× as often as an indifferent choice — 15th 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: 29 is drawn with probability 5/50 tonight whatever it did last week.