a) P(A or B) = P(A) + P(B) - P(A and B)
= 0.65 + 0.55 - 0.35
= 0.85
b) P(A | B) = P(A and B)/ P(B) (Bayes' Theorem)
= 0.35/0.55
= 0.636
c) P(B | A) = P(A and B) /P(A)
= 0.35/0.65
= 0.538
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