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
1draws waiting · a wait this long: >99% for any number
11.8average wait between appearances · chance says 8.8
37longest completed wait · 27% chance of one at least that long
20 is drawn as often as chance explains
Drawn 26 times in 296 draws against 33.8 expected, −1.43σ. Each draw is independent: after 1 draws away it is exactly as likely tonight as a number drawn yesterday.
20
Number 20, draw by draw
Drawn 26 times in 296 draws · average wait 11.8 draws · longest completed wait 37 · waiting 1 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 20 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, 20 is picked about 1.28× as often as an indifferent choice — 13th 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: 20 is drawn with probability 4/35 tonight whatever it did last week.