Number 41

In Eurojackpot under the 5/50 + 2/8 · Mar 2012 – Oct 2014 rules — 133 draws, 5 from 1–50 (an earlier era).

15times drawn · chance expected 13 +0.49σ

7draws waiting · a wait this long: 53% for any number

8.6average wait between appearances · chance says 10.0

21longest completed wait · 84% chance of one at least that long

41 is drawn as often as chance explains

Drawn 15 times in 133 draws against 13.3 expected, +0.49σ. Each draw is independent: after 7 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 41, draw by draw

Drawn 15 times in 133 draws · average wait 8.6 draws · longest completed wait 21 · 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 41 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 2.0
4th smallest6 · chance 6.3
5th smallest6 · chance 6.5

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.

4 30 25 29 38 49

Never drawn alongside 14 of the other 49 numbers; chance expects about 14 such strangers by now. Every pair →

How many people play it

Under the crowd model, 41 is picked about 0.86× as often as an indifferent choice — 34th 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.

Numbers above 31 ×0.86

The model and its sources → · What people believe about 41 →

Every draw it appeared in

Date	Wait	Position	The draw
2014-08-15	8	3rd	17 38 41 43 47
2014-06-20	17	5th	6 10 23 33 41
2014-02-21	17	5th	2 4 21 30 41
2013-10-25	1	4th	9 25

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: 41 is drawn with probability 5/50 tonight whatever it did last week.