Explanation Given information: In a experiment a die is rolled. Concept used: The conditional probability P ( E | F ) of E if event F occurs can be expressed as, P ( E | F ) = n ( E ∩ F ) n ( F ) ............ (1) Here, E and F are the event in sample space. The number of element in event F is n ( F ) and the number of common element in event E and event F is n ( E ∩ F ) . Calculation: Consider A as the event of showing a number 5. The favorable outcomes of event A is, A = { 5 } Consider B as the event of showing a number greater than 3, n ( B ) as the number of element in event B and P ( B ) as the probability of event B . The favorable outcomes of event B is, B = { 4 , 5 , 6 } The number of element in event B can be calculated as, n ( B ) = 3 The common element in event A and event B is, A ∩ B = { 5 } Consider n ( A ∩ B ) as the number of element in A ∩ B To determine (b) To find: The conditional probability of showing a number three and the number showing odd to occur.

Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

7th Edition

ISBN: 9781305718944

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 9.2, Problem 27E

To determine

(a)

To find:

The probability of event “showing a number five” if the event “showing a number greater than 3” occurs.

To determine

(b)

To find:

The conditional probability of showing a number three and the number showing odd to occur.

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Chapter 9.2, Problem 26E

Chapter 9.2, Problem 28E

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Chapter 9 Solutions

Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

Ch. 9.1 - The Fundamental Counting Principle says that if...Ch. 9.1 - The number of ways of arranging r objects form n...Ch. 9.1 - The number of ways of choosing r objects from n...Ch. 9.1 - True or False? In counting combinations, order...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...

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(a) To find: The probability of event “showing a number five” if the event “showing a number greater than 3” occurs.

Solution Summary: The author explains how the probability of event "showing a number five" is 13, and the conditional probability P(E|F) of E