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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 12 times in 104 draws against 12.7 expected, −0.20σ. Each draw is independent: after 16 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 12 times in 104 draws · average wait 5.6 draws · longest completed wait 18 · waiting 16 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 6 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 1.2 shared draws, and the leaders are simply the ones that came out ahead this time.
Never drawn alongside 16 of the other 40 numbers; chance expects about 12 such strangers by now. Every pair →
Under the crowd model, 6 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 |
|---|---|---|---|
| 2023-02-25 | 1 | 2nd | 26112326 |
| 2023-02-22 | 1 | 2nd | 2681640 |
| 2023-02-18 | 4 | 1st | 624273640 |
| 2023-02-04 | 13 | 2nd | 2 |
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: 6 is drawn with probability 5/41 tonight whatever it did last week.
| 2022-12-21 | 2 | 1st | 615163440 |
| 2022-12-14 | 13 | 2nd | 36151620 |
| 2022-10-29 | 18 | 1st | 613242631 |
| 2022-08-27 | 1 | 1st | 617222631 |
| 2022-08-24 | 3 | 1st | 613213940 |
| 2022-08-13 | 5 | 1st | 620263239 |
| 2022-07-27 | 1 | 2nd | 1692435 |
| 2022-07-23 | — | 1st | 616323439 |