A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. a. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate. b. What is the probability that the password spells the word “MATH?" Show work but do not evaluate.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the
alphabet, and D can be any digit including 0. None of the digits or letters can repeat.
a. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)?
Show work but do not evaluate.
b. What is the probability that the password spells the word "MATH?" Show work but do not evaluate.
Transcribed Image Text:A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. a. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate. b. What is the probability that the password spells the word "MATH?" Show work but do not evaluate.
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