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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 13 times in 104 draws against 12.7 expected, +0.10σ. Each draw is independent: after 13 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 13 times in 104 draws · average wait 7.3 draws · longest completed wait 36 · waiting 13 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 11 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 1.3 shared draws, and the leaders are simply the ones that came out ahead this time.
Never drawn alongside 11 of the other 40 numbers; chance expects about 11 such strangers by now. Every pair →
Under the crowd model, 11 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.
The model and its sources → · What people believe about 11 →
| Date | Wait | Position | The draw |
|---|---|---|---|
| 2023-03-08 | 1 | 2nd | 111283138 |
| 2023-03-04 | 2 | 1st | 1134363941 |
| 2023-02-25 | 8 | 3rd | 26112326 |
| 2023-01-28 | 36 | 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: 11 is drawn with probability 5/41 tonight whatever it did last week.
| 2022-09-24 | 1 | 1st | 1132343637 |
| 2022-09-21 | 12 | 1st | 1114212223 |
| 2022-08-10 | 18 | 2nd | 211172331 |
| 2022-06-08 | 2 | 1st | 1115253839 |
| 2022-06-01 | 3 | 2nd | 911182431 |
| 2022-05-21 | 1 | 1st | 1120252831 |
| 2022-05-18 | 1 | 2nd | 911152333 |
| 2022-05-14 | 2 | 2nd | 511122635 |
| 2022-05-07 | — | 1st | 1114202739 |