Assume that `P ( A ) = P ( B )`. Show that `A = B`

For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ) .

If A and B are two events such that P(A) = 0.3 , P(B) =0.6 and P(B|A) = 0.5 , then P(A|B) =

If A and B are two events such that P(A) = 0.3 , P(B) = 0.6 and P(B|A) = 0.5 , then P(AcupB) =

If A and B are two disjoint events such that P(A) = 2/7 , P(B)=3/5 then P(A or B) =

(i) If A,B,C are any three events in an experiment and AsubeB , P(C ) gt 0 then show that P(A//C) le P(B//C) (ii) If A, B are mutually exclusive and P(B) ne 1 then show that P(A//B^(C ))=(P(A))/(1-P(B)) (iii) If A, B are mutually exclusive and P(AuuB) ne 0 then P(A//AuuB)=(P(A))/(P(A)+P(B))

A and B are events such that P(A) = 0.42 , P(B) = 0.48 and P(A and B) = 0.16 , Determine (i) P(not A), (ii) P(not B) and (iii) P(A or B).

Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B ) ? Justify your answer.