Number 23

In Texas Two Step under the 5/35 · Feb 2022 – Nov 2022 rules — 75 draws, 5 from 1–35 (an earlier era).

7times drawn · chance expected 11 −1.23σ

3draws waiting · a wait this long: 73% for any number

10.3average wait between appearances · chance says 7.0

23longest completed wait · 19% chance of one at least that long

23 is drawn as often as chance explains

Drawn 7 times in 75 draws against 10.7 expected, −1.23σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 23, draw by draw

Drawn 7 times in 75 draws · average wait 10.3 draws · longest completed wait 23 · waiting 3 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 23 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 0.1
2nd smallest0 · chance 0.7
3rd smallest3 · chance 2.3
4th smallest3 · chance 2.8
5th smallest1 · chance 1.1

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.

3 5 31 1 7 8

Never drawn alongside 18 of the other 34 numbers; chance expects about 15 such strangers by now. Every pair →

How many people play it

Under the crowd model, 23 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 23 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-11-10	9	3rd	2 3 23 31 34
2022-10-10	4	4th	1 8 14 23 25
2022-09-15	23	4th	3 5 12 23 28
2022-06-27	4	3rd	5

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: 23 is drawn with probability 5/35 tonight whatever it did last week.