In Texas Two Step under the 4/35 + 1/0 · Nov 2022 – Sep 2025 rules — 296 draws, 4 from 1–35 (an earlier era).
21times drawn · chance expected 34 −2.34σ
11draws waiting · a wait this long: 30% for any number
13.7average wait between appearances · chance says 8.8
43longest completed wait · 12% chance of one at least that long
3 is drawn as often as chance explains
Drawn 21 times in 296 draws against 33.8 expected, −2.34σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday.
3
Number 3, draw by draw
Drawn 21 times in 296 draws · average wait 13.7 draws · longest completed wait 43 · waiting 11 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 3 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 7 of the other 34 numbers; chance expects about 5 such strangers by now. Every pair →
How many people play it
Under the crowd model, 3 is picked about 1.48× as often as an indifferent choice — 2nd 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: 3 is drawn with probability 4/35 tonight whatever it did last week.