Number 21

In Texas Two Step under the 4/35 + 1/35 · since Sep 2025 rules — 109 draws, 4 from 1–35.

11times drawn · chance expected 12 −0.44σ

8draws waiting · a wait this long: 43% for any number

9.7average wait between appearances · chance says 8.8

24longest completed wait · 47% chance of one at least that long

21 is drawn as often as chance explains

Drawn 11 times in 109 draws against 12.5 expected, −0.44σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 21, draw by draw

Drawn 11 times in 109 draws · average wait 9.7 draws · longest completed wait 24 · waiting 8 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.

1st smallest1 · chance 0.7
2nd smallest0 · chance 3.3
3rd smallest6 · chance 4.9
4th smallest4 · chance 2.1

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.0 shared draws, and the leaders are simply the ones that came out ahead this time.

1 18 23 7 9 12

Never drawn alongside 15 of the other 34 numbers; chance expects about 13 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.

Numbers 1–31 — the birthday zone ×1.22

The model and its sources → · What people believe about 21 →

Every draw it appeared in

Date	Wait	Position	The draw
2026-09-10	7	3rd	18 19 21 35
2026-08-17	2	3rd	7 16 21 22
2026-08-10	16	3rd	7 19 21 30
2026-06-15	4	4th	9 12 20 21
2026-06-01	6

What this cannot tell you

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.