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
2draws waiting · a wait this long: 86% for any number
5.5average wait between appearances · chance says 7.0
15longest completed wait · 74% chance of one at least that long
5 is drawn as often as chance explains
Drawn 12 times in 75 draws against 10.7 expected, +0.42σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.
5
Number 5, draw by draw
Drawn 12 times in 75 draws · average wait 5.5 draws · longest completed wait 15 · waiting 2 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 5 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
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, 5 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.
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: 5 is drawn with probability 5/35 tonight whatever it did last week.