6. Twenty pieces of sushi are laid out in a row, and 6 of the 20 pieces contain Super Extra Spicy Wasabi. The game, Sushi Roulette, is played by eating 3 of the sushi pieces. If all three pieces contain wasabi, then the player wins $500 and a glass of water. a) What is the probability that a player will eat wasabi-containing sushi but not win the cash prize? [2 marks] b) What is the expected amount of money that a player will win after playing Sushi Roulette once (i.e. eating 3 pieces of sushi)? [2 marks] c) How much money should the organizer of Sushi Roulette charge per play in order to make a 65% profit? [2 marks]