A fair coin is flipped six times. The outcomes of the coin flips form a palindrome...

A fair coin is flipped six times. The outcomes of the coin flips form a palindrome if the sequence of T’s and H’s reads the same forwards and backwards, e.g. THTTHT.

Let A denote the event that the first, second and fourth flips are all ‘T’. Let Z denote the event that the six flips form a palindrome.

(a) Is A independent of Z?

(b) Is A independent of Z?

(c) A fair coin flipped six times and a certain property, Q, is being studied. Let Z be the event that the first three flips are all ‘heads’. It is found that Pr(Q | Z) = 1/4 and Pr(Q | Z) = 2/7. Show how to use Bayes’ Theorem to find Pr(Z | Q)

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orchestra answered 1 year ago

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