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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 15 times in 83 draws against 8.4 expected, +2.38σ. Each draw is independent: after 2 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 15 times in 83 draws · average wait 5.1 draws · longest completed wait 20 · waiting 2 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 8 has a favourite seat — chance gives a small number the low positions more often. That is the shape of sorting, not of the machine.
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.
Never drawn alongside 18 of the other 58 numbers; chance expects about 16 such strangers by now. Every pair →
Under the crowd model, 8 is picked about 1.48× as often as an indifferent choice — 2nd 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.
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: 8 is drawn with probability 6/59 tonight whatever it did last week.
| 2010-09-01 | 5 | 1st | 81619254548 |
| 2010-08-14 | 5 | 1st | 81328303336 |
| 2010-07-28 | 13 | 2nd | 3812153151 |
| 2010-06-12 | 5 | 1st | 81318192959 |
| 2010-05-26 | 3 | 2nd | 2814333457 |
| 2010-05-15 | 3 | 1st | 82028525859 |
| 2010-05-05 | 3 | 1st | 81115245253 |
| 2010-04-24 | 2 | 3rd | 278424448 |
| 2010-04-17 | 1 | 1st | 81325344654 |
| 2010-04-14 | 1 | 2nd | 3832404251 |
| 2010-04-10 | 20 | 1st | 82444535459 |
| 2010-01-30 | — | 1st | 81229324047 |