/ . Neatly Write your responses in the spaces prV'se a blue or black pen_ Don't write in the margins. ation on every page you turn in. . Remember to complete the submission info/I: Show all necessary work; you will be graded on the work you show as well as on the correctness of your answer. 1. The casino game of chuck-a-Iuems quite simple and that it would be a , pretty good bet. In this game, three dice are rolled (usually inside a wire cage). You can bet a set amount/let's say $5, on a specific number 1- 6. You win the amount of your bet for each appearance of your number on the dice. If the number does not appear, you lose your bet. For example, let's say you bet $5 on the number 3. If it appears on exactly one die, you win $5 (and keep your bet) with probability\" 75/216. If it appears on exactly two dice, you win $10 (and keep your bet) with probability 15/216. If it appears on all three dice, you win $15 (and keep your bet) with probability 1/216. If it appears on none of the dice, you lose your original $5 bet. Construct the probability distribution for chuck-a- luck and determine your expected winnings on a $5 bet. (20 points) ll- \"'5