Number 25

In Daily Million Plus 2pm under the 6/39 + 1/38 · Apr 2016 – Jul 2016 rules — 86 draws, 6 from 1–39 (an earlier era).

10times drawn · chance expected 13 −0.97σ

4draws waiting · a wait this long: 61% for any number

9.0average wait between appearances · chance says 6.5

19longest completed wait · 37% chance of one at least that long

25 is drawn as often as chance explains

Drawn 10 times in 86 draws against 13.2 expected, −0.97σ. Each draw is independent: after 4 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 25, draw by draw

Drawn 10 times in 86 draws · average wait 9.0 draws · longest completed wait 19 · waiting 4 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 25 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 0.5
3rd smallest1 · chance 2.0
4th smallest3 · chance 3.7
5th smallest5 · chance 3.0
6th smallest1 · chance 0.8

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.3 shared draws, and the leaders are simply the ones that came out ahead this time.

8 13 7 20 34 6

Never drawn alongside 9 of the other 38 numbers; chance expects about 10 such strangers by now. Every pair →

How many people play it

Under the crowd model, 25 is picked about 1.22× as often as an indifferent choice — 15th most popular of 39. 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 25 →

Every draw it appeared in

Date	Wait	Position	The draw
2016-07-15	3	5th	2 11 15 16 25 32
2016-07-12	2	3rd	7 13 25 30 34 36
2016-07-10	1	5th	6 8 11 24 25 30

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: 25 is drawn with probability 6/39 tonight whatever it did last week.