Number 13

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

9times drawn · chance expected 11 −0.57σ

4draws waiting · a wait this long: 63% for any number

8.8average wait between appearances · chance says 7.0

21longest completed wait · 31% chance of one at least that long

13 is drawn as often as chance explains

Drawn 9 times in 75 draws against 10.7 expected, −0.57σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 13, draw by draw

Drawn 9 times in 75 draws · average wait 8.8 draws · longest completed wait 21 · waiting 4 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 13 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 1.4
2nd smallest5 · chance 3.6
3rd smallest2 · chance 3.0
4th smallest2 · chance 0.9
5th smallest0 · chance 0.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.1 shared draws, and the leaders are simply the ones that came out ahead this time.

9 8 4 11 15 27

Never drawn alongside 11 of the other 34 numbers; chance expects about 12 such strangers by now. Every pair →

How many people play it

Under the crowd model, 13 is picked about 0.92× as often as an indifferent choice — 31st 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 number 13, in Western markets ×0.75

The model and its sources → · What people believe about 13 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-11-07	21	4th	4 9 11 13 30
2022-08-15	7	4th	1 9 9 13 27
2022-07-21	19	3rd	3 8 13 28 31
2022-05-16	11	2nd	4 13

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