If you roll a pair of dice, what is the total number of ways in which you can obtain the following? (a) a 9 (b) a 6

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 35P
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If you roll a pair of dice, what is the total number of ways in which you can obtain the following?

(a) a 9


(b) a 6
Expert Solution
Step 1

When two dice are rolled, total number of possible outcomes are = 6 X 6 = 36

Step 2

a) To get a 9, the possibilities are

(3,6); (4,5); (5,4); (6,3)

Probability is hence, 

P=PossibilitiesTotal=436=19

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