`B= {x in N|x^(2)+4=0}` then find P(B), `P(P(B))" and "n(P(B))" and "n(P(P(B)))`.

A= {x in N|1 le x le 5} then find n(P(A)) and n(P(P(A))) .

If P(A) = 0.5, P(B) = 0.6 and P(A cup B) = 0.8 then find P( A | B) and P( B | A) .

Compute P(A|B), if P(B) = 0.5 and P(A cap B)=0.32

A and B are mutually exclusive events. P(A)=0.28, P(B)=0.38, then find (i) P(AuuB) , (ii) P(AnnB), (iii) P(AnnB') , (iv) P(A'nnB')

For events A and B if P(A) = 0.3, P(B) = 0.6 and P(B | A) = 0.5 then find P( A | B) and P(A cup B) .

If P(A') = 0.7, P(B) = 0.7, P(B | A) = 0.5 then find P ( A | B) and P(A cup B) .

Statement-1: if A and B are two events, such that 0 lt P(A),P(B) lt 1, then P((A)/(overline(B)))+P((overline(A))/(overline(B)))=(3)/(2) Statement-2: If A and B are two events, such that 0 lt P(A), P(B) lt 1, then P(A//B)=(P(AcapB))/(P(B)) and P(overline(B))=P(A capoverline(B))+P(overline(A) cap overline(B))

If P(A) = 0.4, P(B) = 0.8, P( B | A) = 0.6 then find P( A | B) and P(A cup B) .

Evaluate P(A cup B) , if 2P(A) = P(B)=(5)/(13) and P(A|B)=(2)/(5)