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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 11 times in 104 draws against 12.7 expected, −0.50σ. Each draw is independent: after 0 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 11 times in 104 draws · average wait 9.6 draws · longest completed wait 37 · drawn in the most recent draw
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 28 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 1.1 shared draws, and the leaders are simply the ones that came out ahead this time.
Never drawn alongside 12 of the other 40 numbers; chance expects about 13 such strangers by now. Every pair →
Under the crowd model, 28 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 28 →
| Date | Wait | Position | The draw |
|---|---|---|---|
| 2023-04-22 | 5 | 3rd | 2027283435 |
| 2023-04-05 | 6 | 4th | 410262838 |
| 2023-03-15 | 1 | 3rd | 914283035 |
| 2023-03-11 | 1 | 3rd | 22 |
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: 28 is drawn with probability 5/41 tonight whatever it did last week.
| 2023-03-08 | 25 | 3rd | 111283138 |
| 2022-12-10 | 2 | 5th | 89121428 |
| 2022-12-03 | 1 | 3rd | 315283133 |
| 2022-11-30 | 17 | 2nd | 1328323440 |
| 2022-10-01 | 37 | 3rd | 2426283041 |
| 2022-05-25 | 1 | 5th | 1624262728 |
| 2022-05-21 | — | 4th | 1120252831 |