Number 33

In Megabucks Plus under the 5/41 + 1/0 · Apr 2022 – Apr 2023 rules — 104 draws, 5 from 1–41 (an earlier era).

12times drawn · chance expected 13 −0.20σ

9draws waiting · a wait this long: 35% for any number

8.5average wait between appearances · chance says 8.2

31longest completed wait · 20% chance of one at least that long

33 is drawn as often as chance explains

Drawn 12 times in 104 draws against 12.7 expected, −0.20σ. Each draw is independent: after 9 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 33, draw by draw

Drawn 12 times in 104 draws · average wait 8.5 draws · longest completed wait 31 · waiting 9 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.

1st smallest0 · chance 0.0
2nd smallest0 · chance 0.2
3rd smallest3 · chance 1.8
4th smallest5 · chance 5.2
5th smallest4 · chance 4.7

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.2 shared draws, and the leaders are simply the ones that came out ahead this time.

1 15 23 27 39 3

Never drawn alongside 12 of the other 40 numbers; chance expects about 12 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 — 33rd most popular of 41. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.

Numbers above 31 ×0.86

The model and its sources → · What people believe about 33 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-03-22	31	3rd	10 25 33 36 39
2022-12-03	5	5th	3 15 28 31 33
2022-11-16	2	5th	3 27 30 32 33
2022-11-09	10	5th	1

What this cannot tell you

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 5/41 tonight whatever it did last week.