In Mega Millions under the 5/52 + 1/52 · May 2002 – Jun 2005 rules — 324 draws, 5 from 1–52 (an earlier era).
20times drawn · chance expected 31 −2.10σ
11draws waiting · a wait this long: 36% for any number
16.4average wait between appearances · chance says 10.4
56longest completed wait · 7% chance of one at least that long
33 is drawn as often as chance explains
Drawn 20 times in 324 draws against 31.2 expected, −2.10σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday. It has also come out as the bonus ball 9 times, counted separately.
33
Number 33, draw by draw
Drawn 20 times in 324 draws · average wait 16.4 draws · longest completed wait 56 · waiting 11 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 33 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 6 of the other 51 numbers; chance expects about 11 such strangers by now. Every pair →
How many people play it
Under the crowd model, 33 is picked about 0.86× as often as an indifferent choice — 34th most popular of 52. 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: 33 is drawn with probability 5/52 tonight whatever it did last week.