Number 31

In Texas Two Step under the 4/35 + 1/35 · since Sep 2025 rules — 109 draws, 4 from 1–35.

11times drawn · chance expected 12 −0.44σ

0draws waiting — it came up last time

10.7average wait between appearances · chance says 8.8

55longest completed wait · 1% chance of one at least that long

31 is drawn as often as chance explains

Drawn 11 times in 109 draws against 12.5 expected, −0.44σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 11 times in 109 draws · average wait 10.7 draws · longest completed wait 55 · 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 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 smallest0 · chance 0.0
2nd smallest0 · chance 0.3
3rd smallest2 · chance 3.2
4th smallest9 · chance 7.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.0 shared draws, and the leaders are simply the ones that came out ahead this time.

8 10 4 5 14 18

Never drawn alongside 12 of the other 34 numbers; chance expects about 13 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 35. 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
2026-10-08	14	4th	4 8 10 31
2026-08-20	7	3rd	5 28 31 34
2026-07-27	3	4th	18 25 26 31
2026-07-16	7	4th	5 10 19 31
2026-06-22	55

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 4/35 tonight whatever it did last week.