Explanation Calculation: Given, The password consists of two letters followed by three digits and in this case the password is case sensitive. Since, the password contains two letter, those two letters can be chosen from 52 alphabets ( 26 lower case and 26 upper case ) C ( 52 , 2 ) ways. Also three digits can be chosen from 10 digits ( 0 to 9 ) in C ( 10 , 3 ) ways. Thus, for the event, ( E ) of getting the valid password, n ( E ) = 1 ( Since only one password is valid ) n ( S ) = C ( 52 , 2 ) × C ( 10 , 3 ) Thus, the probability of forming the valid password is P ( E ) =

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ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Chapter 13.1, Problem 78E

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The probability that the hacker will be successful in discovering a valid password which must have two letters followed by three digits with that the case of the letters is significant.

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Chapter 13.1, Problem 77E

Chapter 13.1, Problem 79E

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The probability that the hacker will be successful in discovering a valid password which must have two letters followed by three digits with that the case of the letters is significant.

Solution Summary: The author calculates the probability that the hacker will be successful in discovering a valid password, which must have two letters followed by three digits.

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To find: The probability that the hacker will be successful in discovering a valid password which must have two letters followed by three digits with that the case of the letters is significant.

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Chapter 13 Solutions

To find:

The probability that the hacker will be successful in discovering a valid password which must have two letters followed by three digits with that the case of the letters is significant.