In Mega Millions under the 5/75 + 1/15 · Oct 2013 – Oct 2017 rules — 420 draws, 5 from 1–75 (an earlier era).
37times drawn · chance expected 28 +1.76σ
7draws waiting · a wait this long: 66% for any number
11.3average wait between appearances · chance says 15.0
70longest completed wait · 27% chance of one at least that long
25 is drawn as often as chance explains
Drawn 37 times in 420 draws against 28.0 expected, +1.76σ. Each draw is independent: after 7 draws away it is exactly as likely tonight as a number drawn yesterday.
25
Number 25, draw by draw
Drawn 37 times in 420 draws · average wait 11.3 draws · longest completed wait 70 · waiting 7 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 25 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 8 of the other 74 numbers; chance expects about 10 such strangers by now. Every pair →
How many people play it
Under the crowd model, 25 is picked about 1.22× as often as an indifferent choice — 15th most popular of 75. 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: 25 is drawn with probability 5/75 tonight whatever it did last week.