1. A box contains three red and two blue ies. Two ies are removed with replacement. Let A be the event that both the ies are of the same color and B be the event that at least one of the ies is red. Find (i) P(A),(ii) P(B),(iii) P(AB), and (iv) P(AB).
2. A couple has two children. Suppose we know the elder child is a girl. (a) Determine an appropriate sample space. (b) Find the probability that both are girls