Number 45

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

11times drawn · chance expected 8 +0.93σ

3draws waiting · a wait this long: 81% for any number

6.7average wait between appearances · chance says 9.8

24longest completed wait · 59% chance of one at least that long

45 is drawn as often as chance explains

Drawn 11 times in 83 draws against 8.4 expected, +0.93σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 45, draw by draw

Drawn 11 times in 83 draws · average wait 6.7 draws · longest completed wait 24 · 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 45 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 smallest1 · chance 0.1
3rd smallest0 · chance 0.8
4th smallest2 · chance 2.9
5th smallest5 · chance 4.6
6th smallest3 · chance 2.6

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.

25 46 2 8 9 16

Never drawn alongside 18 of the other 58 numbers; chance expects about 22 such strangers by now. Every pair →

How many people play it

Under the crowd model, 45 is picked about 0.86× as often as an indifferent choice — 34th 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 above 31 ×0.86

The model and its sources → · What people believe about 45 →

Every draw it appeared in

Date	Wait	Position	The draw
2010-10-06	7	4th	12 28 34 45 46 56
2010-09-11	1	5th	8 16 37 39 45 48
2010-09-08	2	5th	2 3 21 25 45 53

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