To set up a password for a computer account, the password must consist of two lowercase letters (a to z) followed by one capital letter (A to Z) followed by four digits (0,1,...,9). For the following two questions, you can leave the answers in multiplicative and fraction forms. (a) Find the total number of possible passwords. (b) Find the probability that the password contains at least one repetition in the letters or numbers. Note that the same letter in lowercase and in capital letter is considered as a repetition, for example, abA1234 is considered having a repetition in letter “a”.
To set up a password for a computer account, the password must consist of two lowercase letters (a to z) followed by one capital letter (A to Z) followed by four digits (0,1,...,9). For the following two questions, you can leave the answers in multiplicative and fraction forms. (a) Find the total number of possible passwords. (b) Find the probability that the password contains at least one repetition in the letters or numbers. Note that the same letter in lowercase and in capital letter is considered as a repetition, for example, abA1234 is considered having a repetition in letter “a”.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 1T: Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They...
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To set up a password for a computer account, the password must consist of two lowercase
letters (a to z) followed by one capital letter (A to Z) followed by four digits (0,1,...,9). For the
following two questions, you can leave the answers in multiplicative and fraction forms.
(a) Find the total number of possible passwords.
(b) Find the probability that the password contains at least one repetition in the letters or
numbers. Note that the same letter in lowercase and in capital letter is considered as a
repetition, for example, abA1234 is considered having a repetition in letter “a”.
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