Question: Consider the sample space S = {a, b, c, d} and assign probabilities to the elementary events as P({a}) = 1/7, P({b}) = 2/7, P({c})

Consider the sample space S = {a,

b, c, d} and assign probabilities to the elementary events as P({a}) = 1/7, P({b}) = 2/7, P({c}) = 4/7, P({d}) = 0.

(a) Compute the probabilities of all compound events, as described in Theorem 3.1.6.

(b) Find two sets A and B such that AB = B, but P(AB) = P(B).

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