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Statistics / Statistics: Informed Decisions Using Data 4 / Chapter 5 / Problem 8

Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III

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Craps is a dice game in which two fair dice are cast. If the roller shoots a 7 or 11 on

Chapter 5, Problem 8

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QUESTION:

Craps is a dice game in which two fair dice are cast. If the roller shoots a 7 or 11 on the first roll, he or she wins. If the roller shoots a 2, 3, or 12 on the first roll, he or she loses. (a) Compute the probability that the shooter wins on the first roll. Interpret this probability. (b) Compute the probability that the shooter loses on the first roll. Interpret this probability.

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QUESTION:

Craps is a dice game in which two fair dice are cast. If the roller shoots a 7 or 11 on the first roll, he or she wins. If the roller shoots a 2, 3, or 12 on the first roll, he or she loses. (a) Compute the probability that the shooter wins on the first roll. Interpret this probability. (b) Compute the probability that the shooter loses on the first roll. Interpret this probability.

ANSWER:

Step 1 of 4

a)

If a Two dice are rolled then

if the roller shoots a 7 or 11 he wins

the game

Let A denote Event the Gegging roller shoots 7

Let denote Event the Gegging roller shoots 11

Total number of cases in rolling two dies

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