Number 34

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

13times drawn · chance expected 11 +0.75σ

3draws waiting · a wait this long: 73% for any number

5.3average wait between appearances · chance says 7.0

12longest completed wait · 91% chance of one at least that long

34 is drawn as often as chance explains

Drawn 13 times in 75 draws against 10.7 expected, +0.75σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 34, draw by draw

Drawn 13 times in 75 draws · average wait 5.3 draws · longest completed wait 12 · waiting 3 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 34 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 0.0
2nd smallest0 · chance 0.0
3rd smallest0 · chance 0.0
4th smallest3 · chance 1.5
5th smallest10 · chance 11.5

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.5 shared draws, and the leaders are simply the ones that came out ahead this time.

18 5 15 17 22 35

Never drawn alongside 5 of the other 34 numbers; chance expects about 7 such strangers by now. Every pair →

How many people play it

Under the crowd model, 34 is picked about 0.86× as often as an indifferent choice — 32nd 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 above 31 ×0.86

The model and its sources → · What people believe about 34 →

Every draw it appeared in

Date	Wait	Position	The draw
2022-11-10	2	5th	2 3 23 31 34
2022-11-03	12	5th	1 10 14 25 34
2022-09-12	1	5th	6 15 21 28 34
2022-09-08	2	5th	5

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: 34 is drawn with probability 5/35 tonight whatever it did last week.