. (5 marks) Your friend pays $5 and draws a card from a deck. If he / she draws the ace of hearts, you pay $100. For any other ace, you pay $10, and for any other heart, you pay $5. If he / she draws anything else, he / she loses. a) Obtain the probability distribution of the profit on you. b) Calculate the average profit. c) Would any of your friends be willing to play this game with you? Explain briey