In Texas Two Step under the 4/35 + 1/0 · Nov 2022 – Sep 2025 rules — 296 draws, 4 from 1–35 (an earlier era).
23times drawn · chance expected 34 −1.98σ
10draws waiting · a wait this long: 34% for any number
12.4average wait between appearances · chance says 8.8
31longest completed wait · 44% chance of one at least that long
34 is drawn as often as chance explains
Drawn 23 times in 296 draws against 33.8 expected, −1.98σ. Each draw is independent: after 10 draws away it is exactly as likely tonight as a number drawn yesterday.
34
Number 34, draw by draw
Drawn 23 times in 296 draws · average wait 12.4 draws · longest completed wait 31 · waiting 10 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 34 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.
Never drawn alongside 3 of the other 34 numbers; chance expects about 4 such strangers by now. Every pair →
How many people play it
Under the crowd model, 34 is picked about 0.86× as often as an indifferent choice — 32nd 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: 34 is drawn with probability 4/35 tonight whatever it did last week.