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

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

If P(A)=a and P(B)=b, Show that P(A/B) lea/b .

If for two events A and B, P(A) = P (A/B) = 1/4 and P (B/A) = 1/2 , show that A and B are two mutually independent events.

If P(A)=a and P(B)=b, then show that P(A/B) le(a)/(b) .

If A={a,b},B={b,c} Find P(A), P(B), P(A) uu P(B) , P(A) nn P(B) show that P(A) nn P(B) = P(A nn B)

If A={a,b},B={b,c} Find P(A), P(B), P(A) uu P(B) , P(A) nn P(B) show that P(A) uu P(B) sub P(A uu B)

Let P be the set of all subsets of a given set X. Show that uu:" "P" "xx" "P->P given by (A ," "B) ->Auu B and nn:" "PxxP ->P given by (A ," "B)->AnnB are binary operations on the set P.

If P(A) = a and P(B) = b, then show that P(A/B) le a/b .