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Reading the draws and working out what chance predicts.

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LotteryOracle reports what happened; it does not predict what is next. Every draw is independent — no number is ever "due".

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New York Lotto · every number

21

Number 21

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

Main numbersStars6/59 + 1/59 · since Oct 20106/59 + 1/55 · Jan 2010 – Oct 2010
8times drawn · chance expected 8 −0.16σ
7draws waiting · a wait this long: 53% for any number
10.4average wait between appearances · chance says 9.8
32longest completed wait · 23% chance of one at least that long
21 is drawn as often as chance explains

Drawn 8 times in 83 draws against 8.4 expected, −0.16σ. Each draw is independent: after 7 draws away it is exactly as likely tonight as a number drawn yesterday.

21

Number 21, draw by draw

Drawn 8 times in 83 draws · average wait 10.4 draws · longest completed wait 32 · waiting 7 draws now

2 draws: 2010-01-09 to 2010-01-1627 draws: 2010-01-16 to 2010-04-2132 draws: 2010-04-21 to 2010-08-113 draws: 2010-08-11 to 2010-08-215 draws: 2010-08-21 to 2010-09-083 draws: 2010-09-08 to 2010-09-181 draws: 2010-09-18 to 2010-09-22Still waiting — at least 7 draws since 2010-09-222010-01-092010-01-162010-04-212010-08-112010-08-212010-09-082010-09-182010-09-222010-01-022010-10-16

a completed wait — darker is longer the wait still running — a lower bound, not a finished gap

1 draws: 1 time2 draws: 1 time3 draws: 2 times4 draws: 0 times5 draws: 1 time6 draws: 0 times7 draws: 0 times8 draws: 0 times9 draws: 0 times10 draws: 0 times11 draws: 0 times12 draws: 0 times13 draws: 0 times14 draws: 0 times15 draws: 0 times16 draws: 0 times17 draws: 0 times18 draws: 0 times19 draws: 0 times20 draws: 0 times21 draws: 0 times22 draws: 0 times23 draws: 0 times24 draws: 0 times25 draws: 0 times26 draws: 0 times27 draws: 1 time28 draws: 0 times29 draws: 0 times30 draws: 0 times31 draws: 0 times32 draws: 1 time33 draws: 0 timesits own waitsdraws between appearances

Where it lands in a sorted draw

Sort a draw and 21 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 smallest1 · chance 0.9
  • 2nd smallest3 · chance 2.6
  • 3rd smallest3 · chance 2.8
  • 4th smallest1 · chance 1.4
  • 5th smallest0 · chance 0.3
  • 6th smallest0 · chance 0.0

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 0.7 shared draws, and the leaders are simply the ones that came out ahead this time.

95115232730

Never drawn alongside 27 of the other 58 numbers; chance expects about 29 such strangers by now. Every pair →

How many people play it

Under the crowd model, 21 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 21 →

Every draw it appeared in

DateWaitPositionThe draw
2010-09-2213rd41821304459
2010-09-1831st212326425158
2010-09-0853rd2321254553
← number 20Every numbernumber 22 →
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: 21 is drawn with probability 6/59 tonight whatever it did last week.

2010-08-2134th1920212752
2010-08-11322nd92128303551
2010-04-21272nd152132335152
2010-01-1622nd192127394849
2010-01-09—3rd91521233146