At most craps tables in gambling houses, the house will give odds of 6 to 1 against rolling a 4 the "hard way," that is, with a pair of 2's as con- trasted with a 3 and a 1, which is the "easy way." A bet made on a "hard way" 4 wins if a pair of 2's show before either a 7 is rolled or a 4 is made the "easy way"; otherwise it loses. What is the expectation purchased by a $1 bet on a “hard-way" 4?

At most craps tables in gambling houses, the house will give odds of 6 to 1 against rolling a 4 the "hard way," that is, with a pair of 2's as con- trasted with a 3 and a 1, which is the "easy way." A bet made on a "hard way" 4 wins if a pair of 2's show before either a 7 is rolled or a 4 is made the "easy way"; otherwise it loses. What is the expectation purchased by a $1 bet on a “hard-way" 4?

Name: At most craps tables in gambling houses, the house will give odds of6
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Description: At most craps tables in gambling houses, the house will give odds of6 to 1 against rolling a 4 the "hard way," that is, with a pair of 2's as con-trasted with a 3 and a 1, which is the "easy way." A bet made on a "hardway" 4 wins if a pair of 2's sh

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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