   Chapter 9.8, Problem 19ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# When a pair of balanced dice are rolled and the sum of the numbers showing face up is computed, the result can be number from 2 to 12, inclusive. What is the expected value of the sum?

To determine

To find the expected value of the sum.

Explanation

Given information:

A pair of dice is rolled and the sum computed can be from 2to 12 inclusive.

Calculation:

When a pair of dice rolled and the sum computed can be from 2to 12, all the combinations will lead to the sum desired.

So total sample space =36.

and all possible sums will be from 2 to 12.

Therefore the expected value of the sum of the numbers on the balls = 2×P(sum=2)+3×P(sum=3)+4×P(sum=4)+5×P(sum=5)+6×P(sum=6)7×P(sum=7)+8×P(sum=8)+9×P(sum=9)+10×P

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