[" EXAMPLE "" 8.Let "B" be a subset of "A" and let "],[qquad P(A:B)={X in P(A):X>=B}],[" Show that "P(A:phi)=P(A)]

Let B be a subset of a set A and let P(A:B)=[X in P(A):X sub B]. (i) Show that: P(A:phi)=P(A)(ii)IfA={a,b,c,d} and B={a,b). List all the members of the set P(A:B)

If A and B are two events such that P(A) = P(B) = 1, then show that , P(A+B) = 1, P(AB) = 1

Let A and B be events with P(A)=3/8,P(B)=5/8 and P(AcupB)=3/4 then P(AcapB) =

Let A and B be events with P(A)=3/8,P(B)=5/8 and P(AcupB)=3/4 then P(A/B) =

Let A and B be two events such that P(A)=0.3 and P(AcupB)= 0.8 . Find P(B), if P(Acap B) = P(A) P(B) .

Let A and B be events for which P(A) = x, P(B) = y, P(A nn B) = z ,then P(A uu B) equals

Let A and B be events for which P(A) = x, P(B) = y, P(A nn B) = z ,then P(A uu B) equals

Let A and B be events with P(A)= 3/8 , P(B)= 1/2 and P(A cap B) = 1/4 , Find P(A cup B)

Let A and B be events for which P(A) = x, P(B) = y, P(A nn B) = z, then P( bar A nn B) equals

Let A and B be events with P(A)= 3/8 , P(B)= 1/2 and P(A cap B) = 1/4 , Find P(A^c cap B)