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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 8 times in 104 draws against 12.7 expected, −1.40σ. Each draw is independent: after 3 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 8 times in 104 draws · average wait 13.6 draws · longest completed wait 27 · waiting 3 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 5 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 0.8 shared draws, and the leaders are simply the ones that came out ahead this time.
Never drawn alongside 17 of the other 40 numbers; chance expects about 18 such strangers by now. Every pair →
Under the crowd model, 5 is picked about 1.34× as often as an indifferent choice — 6th 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.
| Date | Wait | Position | The draw |
|---|---|---|---|
| 2023-04-12 | 27 | 2nd | 15193136 |
| 2023-01-07 | 3 | 1st | 510173540 |
| 2022-12-28 | 11 | 2nd | 15161835 |
| 2022-11-19 | 15 | 2nd | 4 |
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: 5 is drawn with probability 5/41 tonight whatever it did last week.
| 2022-09-28 | 3 | 1st | 521222336 |
| 2022-09-17 | 9 | 1st | 513262731 |
| 2022-08-17 | 27 | 1st | 513323641 |
| 2022-05-14 | — | 1st | 511122635 |