Number 29

In New York Lotto under the 6/59 + 1/55 · Jan 2010 – Oct 2010 rules — 83 draws, 6 from 1–59 (an earlier era).

10times drawn · chance expected 8 +0.57σ

20draws waiting · a wait this long: 13% for any number

6.9average wait between appearances · chance says 9.8

19longest completed wait · 76% chance of one at least that long

29 is drawn as often as chance explains

Drawn 10 times in 83 draws against 8.4 expected, +0.57σ. Each draw is independent: after 20 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 29, draw by draw

Drawn 10 times in 83 draws · average wait 6.9 draws · longest completed wait 19 · waiting 20 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 29 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.

1st smallest0 · chance 0.3
2nd smallest2 · chance 1.7
3rd smallest4 · chance 3.3
4th smallest3 · chance 3.1
5th smallest1 · chance 1.3
6th smallest0 · chance 0.2

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 0.9 shared draws, and the leaders are simply the ones that came out ahead this time.

30 12 19 42 4 8

Never drawn alongside 25 of the other 58 numbers; chance expects about 24 such strangers by now. Every pair →

How many people play it

Under the crowd model, 29 is picked about 1.22× as often as an indifferent choice — 15th most popular of 59. 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 29 →

Every draw it appeared in

Date	Wait	Position	The draw
2010-08-07	9	3rd	5 16 29 42 46 51
2010-07-07	7	2nd	28 29 37 45 50 59
2010-06-12	4	5th	8 13 18 19 29 59

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: 29 is drawn with probability 6/59 tonight whatever it did last week.