Number 20

In Texas Two Step under the 5/35 · Feb 2022 – Nov 2022 rules — 75 draws, 5 from 1–35 (an earlier era).

7times drawn · chance expected 11 −1.23σ

8draws waiting · a wait this long: 34% for any number

11.0average wait between appearances · chance says 7.0

15longest completed wait · 52% chance of one at least that long

20 is drawn as often as chance explains

Drawn 7 times in 75 draws against 10.7 expected, −1.23σ. Each draw is independent: after 8 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 20, draw by draw

Drawn 7 times in 75 draws · average wait 11.0 draws · longest completed wait 15 · 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 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.

1st smallest0 · chance 0.2
2nd smallest2 · chance 1.3
3rd smallest3 · chance 2.7
4th smallest2 · chance 2.2
5th smallest0 · chance 0.6

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 0.8 shared draws, and the leaders are simply the ones that came out ahead this time.

8 26 9 10 17 30

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

Numbers 1–31 — the birthday zone ×1.22
Round numbers (multiples of 10) ×1.05

The model and its sources → · What people believe about 20 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-10-24	12	4th	8 11 17 20 25
2022-09-01	4	2nd	17 20 21 22 34
2022-08-18	7	2nd	12 20 26 27 35
2022-07-25	14	3rd	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: 20 is drawn with probability 5/35 tonight whatever it did last week.