In Mega Millions under the 5/50 + 1/36 · Jan 1999 – May 2002 rules — 348 draws, 5 from 1–50 (an earlier era).
39times drawn · chance expected 35 +0.75σ
18draws waiting · a wait this long: 17% for any number
8.3average wait between appearances · chance says 10.0
33longest completed wait · 73% chance of one at least that long
29 is drawn as often as chance explains
Drawn 39 times in 348 draws against 34.8 expected, +0.75σ. Each draw is independent: after 18 draws away it is exactly as likely tonight as a number drawn yesterday.
29
Number 29, draw by draw
Drawn 39 times in 348 draws · average wait 8.3 draws · longest completed wait 33 · waiting 18 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.
Never drawn alongside 1 of the other 49 numbers; chance expects about 2 such strangers 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.