Explanation Given info: The author owns a safe combination which consists of four numbers between 0 and 99, and these numbers can be repeated. Calculation: There are 100 possible ways for selecting each number in the safe combination. They are, { 0 , 1 , 2 , ... , 99 } . Multiplication counting rule: In a sequence of events, where the first event appears in n 1 number of ways, the second event appears in n 2 number of ways and so on till n th event appears in n n number of ways, and the total number of outcomes is given by the multiplication rule. Total number of outcomes = n 1 × n 2 × ... × n n Here, the safe combinationconsists of 4 numbers. Hence, the number of ways each number can be selected is 100. Thus, the total number of possible ways for Safety is, 100 × 100 × 100 × 100 = 100 , 000 , 000 There would be only one correct combination number out of 100,000,000 possible ways

Essentials of Statistics, Books a la Carte Edition (5th Edition)

5th Edition

ISBN: 9780321926739

Author: Mario F. Triola

Publisher: PEARSON

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Question

Chapter 4.6, Problem 24BSC

To determine

To obtain: The probability of getting the correct combination at the first attempt.

Whether the number of possibilities seems to be feasible to open the safe by making random guesses for the combination or not.

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Chapter 4.6, Problem 23BSC

Chapter 4.6, Problem 25BSC

Chapter 4 Solutions

Essentials of Statistics, Books a la Carte Edition (5th Edition)

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To obtain: The probability of getting the correct combination at the first attempt. Whether the number of possibilities seems to be feasible to open the safe by making random guesses for the combination or not.

Solution Summary: The author calculates the probability of getting the correct combination number at the first attempt by making random guesses for the combination.