In an experiment,A,B,C,and D are events with probabilies P[A] = 1/4,P[B]= 1/8, P[C] = 5/8, and P[D] = 3/8 , Furthermore ,A and B
are mutually exclusive , while C and D are independent .

(a) Find P[AnB] , P[AuB] , P[AnB^], and P[AuB^] .

(b) Are A and B independent ?

(c) Find P[CnD], P[CnD^], and P[c^nD].

(d) Are C^ and D^ independent ?

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