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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 Mega Millions under the 5/50 + 1/25 · Sep 1996 – Jan 1999 rules — 172 draws, 5 from 1–50 (an earlier era).
Drawn 13 times in 172 draws against 17.2 expected, −1.07σ. Each draw is independent: after 23 draws away it is exactly as likely tonight as a number drawn yesterday.
Drawn 13 times in 172 draws · average wait 11.3 draws · longest completed wait 27 · waiting 23 draws now
a completed wait — darker is longer the wait still running — a lower bound, not a finished gap
Sort a draw and 27 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 15 of the other 49 numbers; chance expects about 17 such strangers by now. Every pair →
Under the crowd model, 27 is picked about 1.22× as often as an indifferent choice — 15th most popular of 50. 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 27 →
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: 27 is drawn with probability 5/50 tonight whatever it did last week.
| 1998-06-09 | 18 | 5th | 49132427 |
| 1998-04-07 | 4 | 1st | 2732464749 |
| 1998-03-24 | 12 | 3rd | 1516273645 |
| 1998-02-10 | 11 | 4th | 212142747 |
| 1997-11-28 | 15 | 3rd | 420272939 |
| 1997-08-15 | 27 | 3rd | 1721274247 |
| 1997-02-07 | 2 | 3rd | 410273038 |
| 1997-01-24 | 8 | 3rd | 1217273039 |
| 1996-11-29 | — | 3rd | 114274650 |