Question

44. (The Game of Craps) In the game of craps, the player rolls two unbiased dice. If the sum of the outcomes is 2, 3, or 12, she loses. If it is 7 or 11, she wins. However, if the sum is one of the numbers 4, 5, 6, 8, 9, or 10, she will continue rolling repeatedly until either she rolls the sum that she initially obtained, in which case she wins, or she rolls a 7, in which case she loses. What is the probability that in a game of craps, a player will win?

Name: 44. (The Game of Craps) In the game of craps, the player rolls two unbiased dice. If the sum of the outcomes is 2, 3, or 12, she loses. If it is 7 or 11, she wins. However, if the sum is one of the numbers 4, 5, 6, 8, 9, or 10, she will continue rolling repeatedly until either she rolls the sum that she initially obtained, in which case she wins, or she rolls a 7, in which case she loses. What is the probability that in a game of craps, a player will win?
Uploaded: 2022-03-22T04:58:23-08:00
Duration: 4 min 54 s
Channel: Aarti Kumari

          44. (The Game of Craps) In the game of craps, the player rolls two unbiased dice. If the sum of the outcomes is 2, 3, or 12, she loses. If it is 7 or 11, she wins. However, if the sum is one of the numbers 4, 5, 6, 8, 9, or 10, she will continue rolling repeatedly until either she rolls the sum that she initially obtained, in which case she wins, or she rolls a 7, in which case she loses. What is the probability that in a game of craps, a player will win?

44. (The Game of Craps) In the game of craps, the player rolls two unbiased dice. If the sum of the outcomes is 2, 3, or 12, she loses. If it is 7 or 11, she wins. However, if the sum is one of the numbers 4, 5, 6, 8, 9, or 10, she will continue rolling repeatedly until either she rolls the sum that she initially obtained, in which case she wins, or she rolls a 7, in which case she loses. What is the probability that in a game of craps, a player will win?

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Aarti Kumari

03/22/2022

Step 1

There are 36 possible outcomes when rolling two dice. - The player wins immediately if the sum is 7 or 11. There are 6 ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) and 2 ways to get a sum of 11 (5+6, 6+5). So, the probability of winning on the first Show more…

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(The Game of Craps) In the game of craps, the player rolls two unbiased dice. If the sum of the outcomes is 2, 3, or 12, she loses. If it is 7 or 11, she wins. However, if the sum is one of the numbers 4, 5, 6, 8, 9, or 10, she will continue rolling repeatedly until either she rolls the sum that she initially obtained, in which case she wins, or she rolls a 7, in which case she loses. What is the probability that in a game of craps, a player will win?