In the casino game chuck-a-luck, three fair six-sided dice are rolled, and their outcomes are independent. the player loses $1 if no fives are rolled. the player wins $1 for each five that is rolled. let x be a random variable denoting the amount of money won or lost by the player during one round of this game. the possible values of x are -1, 1, 2, or 3. (hint: consider the three events e1 that the first die shows a five, e2 that the second die shows a five, and e3 that the third die shows a five. notice these events are mutually independent.)