Number 20

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

10times drawn · chance expected 13 −0.95σ

2draws waiting · a wait this long: 90% for any number

12.0average wait between appearances · chance says 10.0

24longest completed wait · 57% chance of one at least that long

20 is drawn as often as chance explains

Drawn 10 times in 133 draws against 13.3 expected, −0.95σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 20, draw by draw

Drawn 10 times in 133 draws · average wait 12.0 draws · longest completed wait 24 · waiting 2 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 20 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.

1st smallest0 · chance 1.3
2nd smallest5 · chance 3.6
3rd smallest3 · chance 3.5
4th smallest2 · chance 1.4
5th smallest0 · chance 0.2

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 0.8 shared draws, and the leaders are simply the ones that came out ahead this time.

7 9 13 18 39 40

Never drawn alongside 17 of the other 49 numbers; chance expects about 22 such strangers by now. Every pair →

How many people play it

Under the crowd model, 20 is picked about 1.28× as often as an indifferent choice — 13th 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 1–31 — the birthday zone ×1.22
Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 20 →

Every draw it appeared in

Date	Wait	Position	The draw
2014-09-19	4	3rd	13 18 20 38 39
2014-08-22	24	2nd	19 20 40 42 47
2014-03-07	4	4th	7 14 15 20 39
2014-02-07	22	3rd	16 18

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