Number 3

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).

14times drawn · chance expected 13 +0.23σ

2draws waiting · a wait this long: 85% for any number

6.2average wait between appearances · chance says 6.5

22longest completed wait · 33% chance of one at least that long

3 is drawn as often as chance explains

Drawn 14 times in 86 draws against 13.2 expected, +0.23σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 3, draw by draw

Drawn 14 times in 86 draws · average wait 6.2 draws · longest completed wait 22 · waiting 2 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 3 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 smallest11 · chance 10.5
2nd smallest3 · chance 3.3
3rd smallest0 · chance 0.2
4th smallest0 · chance 0.0
5th smallest0 · chance 0.0
6th smallest0 · chance 0.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.8 shared draws, and the leaders are simply the ones that came out ahead this time.

4 5 14 17 21 24

Never drawn alongside 5 of the other 38 numbers; chance expects about 6 such strangers by now. Every pair →

How many people play it

Under the crowd model, 3 is picked about 1.48× as often as an indifferent choice — 2nd 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
Numbers 1–12 — day and month overlap ×1.10
Culturally lucky numbers 3, 8, 9 ×1.10

The model and its sources → · What people believe about 3 →

Every draw it appeared in

Date	Wait	Position	The draw
2016-07-17	6	2nd	1 3 7 8 24 27
2016-07-11	22	1st	3 4 5 10 16 38
2016-06-19	5	1st	3 8 31 33 35 39

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