Explanation 1) Definition: Assume that an experiment has outcomes numbered 1 to n with probabilities P 1 , P 2 , P 3 , ... P n . Assume that each outcome has a numerical value associated with it and these are labeled V 1 , V 2 , V 3 , ... V n . The expected value of the experiment is ( P 1 ⋅ V 1 ) + ( P 2 ⋅ V 2 ) + ( P 3 ⋅ V 3 ) + ... + ( P n ⋅ V n ) . 2) Calculation: Given, Possible outcomes of roll a pair of standard dice is given by, = { ( 1 , 1 ) ( 1 , 2 ) ( 1 , 3 ) ( 1 , 4 ) ( 1 , 5 ) ( 1 , 6 ) ( 2 , 1 ) ( 2 , 2 ) ( 2 , 3 ) ( 2 , 4 ) ( 2 , 5 ) ( 2 , 6 ) ( 3 , 1 ) ( 3 , 2 ) ( 3 , 3 ) ( 3 , 4 ) ( 3 , 5 ) ( 3 , 6 ) ( 4 , 1 ) ( 4 , 2 ) ( 4 , 3 ) ( 4 , 4 ) ( 4 , 5 ) ( 5 , 6 ) ( 5 , 1 ) ( 5 , 2 ) ( 5 , 3 ) ( 5 , 4 ) ( 5 , 5 ) ( 5 , 6 ) ( 6 , 1 ) ( 6 , 2 ) ( 6 , 3 ) ( 6 , 4 ) ( 6 , 5 ) ( 6 , 5 ) } To determine b. To calculate: The expected total if roll a pair of Sicherman dice.

Mathematics All Around, Books a la carte edition (6th Edition)

6th Edition

ISBN: 9780134462448

Author: Pirnot, Tom

Publisher: PEARSON

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Chapter 13.4, Problem 41E

To determine

a.

To calculate:

The expected total it roll a pair of standard dice.

To determine

b.

To calculate:

The expected total if roll a pair of Sicherman dice.

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Chapter 13.4, Problem 40E

Chapter 13.4, Problem 42E

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Chapter 13 Solutions

Mathematics All Around, Books a la carte edition (6th Edition)

Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - Prob. 4E Ch. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - Prob. 6E Ch. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - We are rolling two four-sided dice having the...Ch. 13.1 - We are rolling two four-sided dice. One die has...

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a. To calculate: The expected total it roll a pair of standard dice.

Solution Summary: The author explains how to calculate the expected total of roll a pair of standard dice.