Number 1

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

12times drawn · chance expected 11 +0.42σ

5draws waiting · a wait this long: 54% for any number

5.3average wait between appearances · chance says 7.0

13longest completed wait · 85% chance of one at least that long

1 is drawn as often as chance explains

Drawn 12 times in 75 draws against 10.7 expected, +0.42σ. Each draw is independent: after 5 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 1, draw by draw

Drawn 12 times in 75 draws · average wait 5.3 draws · longest completed wait 13 · waiting 5 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 1 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 smallest12 · chance 12.0
2nd smallest0 · chance 0.0
3rd smallest0 · chance 0.0
4th smallest0 · chance 0.0
5th smallest0 · chance 0.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.4 shared draws, and the leaders are simply the ones that came out ahead this time.

25 2 5 9 14 22

Never drawn alongside 8 of the other 34 numbers; chance expects about 8 such strangers by now. Every pair →

How many people play it

Under the crowd model, 1 is picked about 1.34× as often as an indifferent choice — 6th 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
Numbers 1–12 — day and month overlap ×1.10

The model and its sources → · What people believe about 1 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-11-03	4	1st	1 10 14 25 34
2022-10-20	3	1st	1 5 17 24 30
2022-10-10	7	1st	1 8 14 23 25
2022-09-05	6	1st	1

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