Number 34

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

13times drawn · chance expected 13 +0.10σ

0draws waiting — it came up last time

8.4average wait between appearances · chance says 8.2

21longest completed wait · 60% chance of one at least that long

34 is drawn as often as chance explains

Drawn 13 times in 104 draws against 12.7 expected, +0.10σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 34, draw by draw

Drawn 13 times in 104 draws · average wait 8.4 draws · longest completed wait 21 · drawn in the most recent draw

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 34 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 smallest1 · chance 0.2
3rd smallest2 · chance 1.6
4th smallest7 · chance 5.4
5th smallest3 · chance 5.8

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.3 shared draws, and the leaders are simply the ones that came out ahead this time.

22 40 1 16 32 36

Never drawn alongside 14 of the other 40 numbers; chance expects about 11 such strangers by now. Every pair →

How many people play it

Under the crowd model, 34 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 34 →

Every draw it appeared in

Date	Wait	Position	The draw
2023-04-22	6	4th	20 27 28 34 35
2023-04-01	8	5th	1 7 22 23 34
2023-03-04	21	2nd	11 34 36 39 41
2022-12-21	6	4th	6

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: 34 is drawn with probability 5/41 tonight whatever it did last week.