Q1 An urn contains 25 balls, 40% of which are green. A contestant reaches in the urn to choose three balls; the contestant will win $200 if he or she selects a green ball but will lose $130 for any other colour. The ball is replaced after each draw. Is the game fair? Explain why or why not.

Q2. Cal's Coffee prints prize coupons under the rims of 20% of its paper cups. If you buy ten cups of coffee,

a) what is the probability that you would win at least six prizes?

b) what is your expected number of prizes?