Show that (a) if P(A) = P(B) = P(AB), then P(ABUBA) = 0; (b) if P(A) = P(B) = 1, then P(AB) = 1.

33. Prove that if is positive and is negative, then is negative.

If A and B are mutually exclusive, P(A) = 0.37, andP(B) = 0.44, find(a) P(A); (b) P(B ); (c) P(A ∪ B); (d) P(A ∩ B); (e) P(A ∩ B ); (f) P(A ∩ B).

If P(A) = 0.18, P(B) = 0.35 and P(A ∩ B) = 0.07, find the following: a. P(A ∪ B) b. P(A\B) c. P (A')

If P(A) = 0.29 , P(B) = 0.32,  P(A | B) = 0.38 then P(A ∩  B) =

If P(A) = 0.29 , P(B) = 0.32,  P(B | A) = 0.42 then P(A ∩  B) =

If P(A)= 0.7 and P(B)= 0.6, find P (AUB) if: A and B are independent, where Be is complement of B (not B)

If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

if n(A U B) = 97 and n(A) = n(B) = 69, find n( A ∩ B)