not apropos of my original question, but this reminds me of a favorite: find another way (besides the traditional one) of labeling the sides of two dice with positive integers so that the distribution of their sum is the same as the usual one. - Cris
On Mar 25, 2017, at 12:41 PM, Dan Asimov <dasimov@earthlink.net> wrote:
My favorite probability paradox is intransitive dice.
In one of its simplest forms, three 6-sided dice A, B, C with A beating B, B beating C, and C beating A — each more than half the time. E.g.,
A: 2, 2, 4, 4, 9, 9
B: 1, 1, 6, 6, 8, 8
C: 3, 3, 5, 5, 7, 7.
where the common probability of A>B, or of B>C, or of C>A, is 5/9.
—Dan
From: Cris Moore <moore@santafe.edu>
Is there a good source for intro-level probability “paradoxes” that would give me an opportunity to pit cognitive biases against mathematical level-headedness? I have in mind things suitable for e.g. 6th-graders, things like: “I flip 8 coins. Which is more likely, that they come up HTTHHTTT or HHHHHHHH?”
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