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A certain three-cylinder combination lock has 80 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 80 numbers can be used at each step to form the combination. (a) How many different lock combinations are there? (b) What is the probability of guessing a lock combination on the first try? (a) The number of different three-number lock combinations is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct lock combination is guessed on the first try is (Type an integer or fraction. Simplify your answer.)

A certain three-cylinder combination lock has 80 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 80 numbers can be used at each step to form the combination. (a) How many different lock combinations are there? (b) What is the probability of guessing a lock combination on the first try? (a) The number of different three-number lock combinations is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct lock combination is guessed on the first try is (Type an integer or fraction. Simplify your answer.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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here to search A certain three-cylinder combination lock has 80 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 80 numbers can be used at each step to form the combination. (a) How many different lock combinations are there? (b) What is the probability of guessing a lock combination on the first try? (a) The number of different three-number lock combinations is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct lock combination is guessed on the first try is (Type an integer or fraction. Simplify your answer.) O E
Transcribed Image Text:here to search A certain three-cylinder combination lock has 80 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 80 numbers can be used at each step to form the combination. (a) How many different lock combinations are there? (b) What is the probability of guessing a lock combination on the first try? (a) The number of different three-number lock combinations is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct lock combination is guessed on the first try is (Type an integer or fraction. Simplify your answer.) O E
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