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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 6 times in 104 draws against 12.7 expected, −2.00σ. Each draw is independent: after 25 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 6 times in 104 draws · average wait 14.8 draws · longest completed wait 34 · waiting 25 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 29 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 22 of the other 40 numbers; chance expects about 22 such strangers by now. Every pair →
Under the crowd model, 29 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 29 →
| Date | Wait | Position | The draw |
|---|---|---|---|
| 2023-01-25 | 3 | 4th | 312202936 |
| 2023-01-14 | 15 | 3rd | 2125293739 |
| 2022-11-23 | 6 | 5th | 18141829 |
| 2022-11-02 | 34 | 3rd | 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: 29 is drawn with probability 5/41 tonight whatever it did last week.
| 2022-07-06 | 16 | 4th | 1420252938 |
| 2022-05-11 | — | 2nd | 2229343740 |