Suppose C, D, E, F are events such that C and E are disjoint, D is...

Question

Question

Suppose C, D, E, F are events such that C and E are disjoint, D is contained in C, F is contained in E, and Pr(D|C)=Pr(F|E).

Show that Pr(D union F |C union E)=Pr(D|C).

Suggestion: Write Pr(D)=Pr(D|C)Pr(C ) and Pr(F)=Pr(F|E)Pr(E ).

math Statistics-And-Probability

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