(3) In the game of Chuck-a-luck, a player places a $1 bet on a number from 1 to 6. Three dice are then rolled. The player wins $1 for each die with the number they bet upon on it. a. Construct the probability distribution that includes all four events in this game. b. What is the expected value of this game? c. Instead of $1, how much should be charged to make this a fair game?|