3. Let is a probability space A,B,C be three events. Prove the following:

4. Suppose is a probability space and A and B any two events. Given P(A)=0.6 and P(B)=0.9. Find

(a)   maximum value of

(b)  minimum value of

(c)  maximum value of

(d)  minimum value of

5. Suppose in the problem 5, . Find .