5. Suppose Amy is playing the following lottery game. There is an urn containing 30 balls: 10 are red, and the remaining 20 are some combination of blue and green balls (possibly all blue, all green, or any combination in between). Amy is choosing between possible bets on the color of a ball drawn randomly from the urn. If she wins her bet, she gets $100, otherwise she gets $0. a. Amy is given the choice to bet on red or to bet on green. She strictly prefers to bet on red. Assuming that Amy has some subjective probability p in her mind that the ball will be green, what does Amy's choice imply about p? b. Suppose instead Amy is given the choice to bet that the ball will not be red, or to bet that the ball will not be green. She strictly prefers to bet that the ball will not be red. Assuming that Amy has some subjective probability 1-p in her mind that the ball will not be green, what does Amy's choice imply about 1-p? c. Can the conditions found in parts (a) and (b) be true at the same time? Explain your answer.