A coin is to be tossed four times. Define events X and Y such that X: first

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A coin is to be tossed four times. Define events X and Y such that
X: first and last coins have opposite faces
Y : exactly two heads appear
Assume that each of the sixteen head/tail sequences has the same probability. Evaluate
(a) P (XC ∩Y)
(b) P(X ∩YC)
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