Solved: 8384 require the following discussion. Craps In a popular dice game, the player

Chapter 8, Problem 83

(choose chapter or problem)

8384 require the following discussion. Craps In a popular dice game, the player rolls a pair of fair dice. If the total number of spots is 7 or 11, the player wins. If the total number of spots is 2, 3, or 12, the player loses. If the player rolls any other total, the total rolled becomes the players point and the player continues to roll the pair of dice. To win the game after establishing the players point, the player must re-roll a total equal to the point that has been established before rolling a total of 7. The player loses at this stage if a total of 7 is rolled while attempting to re-roll the players point. Source: The International Bone Rollers Guild, Games with Ordinary Dice, from According to Hoyle, by Richard L. Frey Let E be the event that the player rolls a total of 8 on the first roll. (Therefore, the players point is 8.) Let W be the event that the player wins the game. Find