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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 Megabucks Plus under the 5/41 + 1/0 · Apr 2022 – Apr 2023 rules — 104 draws, 5 from 1–41 (an earlier era).
Drawn 10 times in 104 draws against 12.7 expected, −0.80σ. Each draw is independent: after 29 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 10 times in 104 draws · average wait 8.1 draws · longest completed wait 23 · waiting 29 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 17 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 1.0 shared draws, and the leaders are simply the ones that came out ahead this time.
Never drawn alongside 13 of the other 40 numbers; chance expects about 15 such strangers by now. Every pair →
Under the crowd model, 17 is picked about 1.22× as often as an indifferent choice — 15th most popular of 41. 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 17 →
| Date | Wait | Position | The draw |
|---|---|---|---|
| 2023-01-11 | 1 | 2nd | 117273038 |
| 2023-01-07 | 9 | 3rd | 510173540 |
| 2022-12-07 | 9 | 4th | 18141727 |
| 2022-11-05 | 4 | 2nd | 13 |
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: 17 is drawn with probability 5/41 tonight whatever it did last week.
| 2022-10-22 | 15 | 2nd | 1617182024 |
| 2022-08-31 | 1 | 1st | 1718243239 |
| 2022-08-27 | 5 | 2nd | 617222631 |
| 2022-08-10 | 6 | 3rd | 211172331 |
| 2022-07-20 | 23 | 2nd | 1617223440 |
| 2022-04-30 | — | 2nd | 117273341 |