Question: 10. Let A, B, C be events such that AUBUC = (complete sample space) and P(A) = 0.55, P(B) = 0.65, P(C) = 0.4,

10. Let A, B, C be events such that AUBUC = (complete

10. Let A, B, C be events such that AUBUC = (complete sample space) and P(A) = 0.55, P(B) = 0.65, P(C) = 0.4, P(ANB) = 0.3, P(BNC) = 0.2, P(CNA) = 0.2. (a) Calculate P(AUB), P(BUC) and P(CUA). (b) Calculate P(AUBUC) and P(An BNC). (c) Calculate P(A \ B) and P(B \ A). (d) Calculate P(A|B) and P(B|A). (e) Calculate P(C | A\ B) and P(C | B \ A).

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