In Texas Two Step under the 4/35 + 1/0 · Nov 2022 – Sep 2025 rules — 296 draws, 4 from 1–35 (an earlier era).
26times drawn · chance expected 34 −1.43σ
11draws waiting · a wait this long: 30% for any number
11.3average wait between appearances · chance says 8.8
50longest completed wait · 6% chance of one at least that long
21 is drawn as often as chance explains
Drawn 26 times in 296 draws against 33.8 expected, −1.43σ. Each draw is independent: after 11 draws away it is exactly as likely tonight as a number drawn yesterday.
21
Number 21, draw by draw
Drawn 26 times in 296 draws · average wait 11.3 draws · longest completed wait 50 · 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 21 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 2 of the other 34 numbers; chance expects about 3 such strangers by now. Every pair →
How many people play it
Under the crowd model, 21 is picked about 1.22× as often as an indifferent choice — 15th 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: 21 is drawn with probability 4/35 tonight whatever it did last week.