Explanation Given Information: Two indistinguishable dice are rolled and one of the numbers is even and the other is odd. Calculation: The set S of all possible outcomes of an experiment is called the sample space of the experiment. The set E is the set of the favourable outcomes of an event of an experiment. Consider the provided information that is, two indistinguishable dice are rolled and one of the numbers is even and the other is odd. Thus, the experiment is two dice rolled. As, the set S of all possible outcomes of an experiment is called the sample space of the experiment. Consider, the possible outcomes are ( 1 , 1 ) , ( 1 , 2 ) , ( 1 , 3 ) , ( 1 , 4 ) , ( 1 , 5 ) , ( 1 , 6 ) , ( 2 , 2 ) , ( 2 , 3 ) , ( 2 , 4 ) , ( 2 , 5 ) , ( 2 , 6 ) , ( 3 , 3 ) , ( 3 , 4 ) , ( 3 , 5 ) , ( 3 , 6 ) , ( 4 , 4 ) , ( 4 , 5 ) , ( 4 , 6 ) , ( 5 , 5 ) , ( 5 , 6 ) and ( 6 , 6 ) . Thus, the sample space is S = { ( 1 , 1 ) , ( 1 , 2 ) , ( 1 , 3 ) , ( 1 , 4 ) , ( 1 , 5 ) , ( 1 , 6 ) , ( 2 , 2 ) , ( 2 , 3 ) , ( 2 , 4 ) , ( 2 , 5 ) , ( 2 , 6 ) , ( 3 , 3 ) , ( 3 , 4 ) , ( 3 , 5 ) , ( 3 , 6 ) , ( 4 , 4 ) , ( 4 , 5 ) , ( 4 , 6 ) , ( 5 , 5 ) , ( 5 , 6 ) , ( 6 , 6 ) } . Consider the event one of the numbers is even and the other is odd. Thus, the favourable outcomes are ( 1 , 2 ) , ( 1 , 4 ) , ( 1 , 6 ) , ( 2 , 1 ) , ( 2 , 3 ) , ( 2 , 5 ) , ( 3 , 4 ) , ( 3 , 6 ) , ( 4 , 5 ) , ( 5 , 6 )

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 8.1, Problem 8E

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To calculate: The sample space and the elements of the event when two indistinguishable dice are rolled and one of the numbers is even and the other is odd.

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Chapter 8.1, Problem 7E

Chapter 8.1, Problem 9E

Chapter 8 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 2E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 4E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 8E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 10E

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The sample space and the elements of the event when two indistinguishable dice are rolled and one of the numbers is even and the other is odd.

Solution Summary: The author calculates the sample space and the elements of the event when two indistinguishable dice are rolled.

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To calculate: The sample space and the elements of the event when two indistinguishable dice are rolled and one of the numbers is even and the other is odd.

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Chapter 8 Solutions