In Texas Two Step under the 4/35 + 1/35 · since Sep 2025 rules — 109 draws, 4 from 1–35.
19times drawn · chance expected 12 +1.97σ
4draws waiting · a wait this long: 69% for any number
5.4average wait between appearances · chance says 8.8
20longest completed wait · 85% chance of one at least that long
1 is drawn as often as chance explains
Drawn 19 times in 109 draws against 12.5 expected, +1.97σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday.
1
Number 1, draw by draw
Drawn 19 times in 109 draws · average wait 5.4 draws · longest completed wait 20 · waiting 4 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 1 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 5 of the other 34 numbers; chance expects about 6 such strangers by now. Every pair →
How many people play it
Under the crowd model, 1 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: 1 is drawn with probability 4/35 tonight whatever it did last week.