Basic Practice of Statistics (Instructor's)
Basic Practice of Statistics (Instructor's)
8th Edition
ISBN: 9781319057923
Author: Moore
Publisher: MAC HIGHER
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Chapter 13, Problem 13.18CYS
To determine

To find: The probability that you win on none of your plays, if you play three times.

Expert Solution & Answer
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Answer to Problem 13.18CYS

Option (a): The probability that you win on none of your plays is 0.94.

Explanation of Solution

Reason for the correct option:

It is given that the probability of winning any one play is 0.02. The probability that you win on none of your plays is,

P(None)=(10.02)(10.02)(10.02)=(10.02)3=0.94

Thus, probability that you win on none of your plays is 0.94.

Reason for the incorrect answers:

Option (b) and option (c) are incorrect, because the corresponding probability is not obtained from the formula of the independence of events.

Conclusion:

Therefore, option (a) is correct.

Statistics Concept Introduction

Introduction:

Independent events:

Two events are said to be independent events if the occurrence of one event does not affect the occurrence of another event. If events A and B are independent then,

P(AB)=P(A)P(B)

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