Blueberry comments on Open Thread: July 2010, Part 2 - Less Wrong

6 Post author: Alicorn 09 July 2010 06:54AM

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Comment author: Eliezer_Yudkowsky 14 July 2010 08:43:05PM 7 points [-]

From a recent newspaper story:

The odds that Joan Ginther would hit four Texas Lottery jackpots for a combined $21 million are astronomical. Mathematicians say the chances are as slim as 1 in 18 septillion — that's 18 and 24 zeros.

I haven't checked this calculation at all, but I'm confident that it's wrong, for the simple reason that it is far more likely that some "mathematician" gave them the wrong numbers than that any compactly describable event with odds of 1 in 18 septillion against it has actually been reported on, in writing, in the history of intelligent life on my Everett branch of Earth. Discuss?

Comment author: Blueberry 14 July 2010 09:40:10PM 6 points [-]

It seems right to me. If the chance of one ticket winning is one in 10^6, the chance of four specified tickets winning four drawings is one in 10^24.

Of course, the chances of "Person X winning the lottery week 1 AND Person Y winning the lottery week 2 AND Person Z winning the lottery week 3 AND Person W winning the lottery week 4" are also 10^24, and this happens every four weeks.