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Reading the draws and working out what chance predicts.
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Reading the draws and working out what chance predicts.
In New York Lotto under the 6/59 + 1/55 · Jan 2010 – Oct 2010 rules — 83 draws, 6 from 1–59 (an earlier era).
Drawn 7 times in 83 draws against 8.4 expected, −0.52σ. Each draw is independent: after 23 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 7 times in 83 draws · average wait 9.5 draws · longest completed wait 23 · waiting 23 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 31 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.
Seen most often with these — chance gives every partner about 0.6 shared draws, and the leaders are simply the ones that came out ahead this time.
Never drawn alongside 30 of the other 58 numbers; chance expects about 32 such strangers by now. Every pair →
Under the crowd model, 31 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.
The model and its sources → · What people believe about 31 →
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: 31 is drawn with probability 6/59 tonight whatever it did last week.
| 2010-02-17 | 2 | 3rd | 182231495058 |
| 2010-02-10 | 4 | 2nd | 133138424346 |
| 2010-01-27 | 5 | 2nd | 133140525758 |
| 2010-01-09 | — | 5th | 91521233146 |