10. At the Queen Victoria Market, a poultry producer is selling ducklings from a cage that contains 3 males and 5 females. You ask her to select two ducklings for you at random. Let A be the event that the first duckling selected is male and let B be the event that both ducklings have the same gender. (a) Calculate P(A), P(B) and P(B|A). (b) Are events A and B independent? Explain why or why not. (c) Are events A and B mutually exclusive? Explain why or why not.