Number 31

In Lottario Early Bird under the 4/45 · since Sep 2024 rules — 107 draws, 4 from 1–45.

11times drawn · chance expected 10 +0.51σ

14draws waiting · a wait this long: 30% for any number

9.2average wait between appearances · chance says 11.3

20longest completed wait · 85% chance of one at least that long

31 is drawn as often as chance explains

Drawn 11 times in 107 draws against 9.5 expected, +0.51σ. Each draw is independent: after 14 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 11 times in 107 draws · average wait 9.2 draws · longest completed wait 20 · waiting 14 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 31 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 smallest1 · chance 0.3
2nd smallest3 · chance 2.3
3rd smallest3 · chance 5.1
4th smallest4 · chance 3.4

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.

17 9 22 28 37 40

Never drawn alongside 19 of the other 44 numbers; chance expects about 21 such strangers by now. Every pair →

How many people play it

Under the crowd model, 31 is picked about 1.22× as often as an indifferent choice — 15th most popular of 45. 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

The model and its sources → · What people believe about 31 →

Every draw it appeared in

Date	Wait	Position	The draw
2026-07-04	8	4th	2 13 29 31
2026-05-09	19	2nd	17 31 37 41
2025-12-27	16	3rd	20 28 31 39
2025-09-06	6	2nd	16 31 32 45

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: 31 is drawn with probability 4/45 tonight whatever it did last week.