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Think about correlation between shots

Posted By: Bob Koca
Date: Saturday, 27 May 2017, at 6:00 a.m.

In Response To: Fun new probability puzzle (Jeremy Bagai)

Suppose that you always took two shots and counted how many bullets hit you. This gives the same expected number of hits of 2/3. We have two random variables which have outcomes of only 0,1, or 2 and an expected value of 2/3 means that the one with the greater chance of equallng 2 gives also the greater chance of equalling 0 which matches survival. Since f(x) = x^2 is a concave up function the variability increases that chance.

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