Originally Posted by
Wander
Well, it can only be split 5-0, 4-1, or 3-2. The chances are
5-0: 1/16, or 6%
4-1: 5/16, or 31%
3-2: 10/16 , or 63%
So, no need for conspiracy theories.
Wander, you are brilliant. Here is the post I was about to make:
Not that improbable. I'll let someone else model it more precisely. But if you were tossing a coin five times, there are 32 possible outcomes. The probability of either zero or one heads is 2/32 (all candidates on one day or another). The probability of one or four heads is 10/32. The probability of either two or three heads is 20/32. So, 12 times out of 32 one would have a result with either four or five of the top five candidates on one day or the other -- 0.375.
(If you did the sampling "without replacement" -- there are only 20 candidates, not an infinite number -- the probability would be somewhat lower -- but someone else can figure that out.)
Cheers,
Sage Grouse
Sage Grouse
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'When I got on the bus for my first road game at Duke, I saw that every player was carrying textbooks or laptops. I coached in the SEC for 25 years, and I had never seen that before, not even once.' - David Cutcliffe to Duke alumni in Washington, DC, June 2013