5. Of the 15-letter passwords that include • 9 letters, chosen from A to Z, without repeats, and • 6 numbers, chosen from 1 to 9, allowing repeats, I select one at random. Determine the following probabilities: (a) Prob (my word begins with A and ends with Z) (b) Prob (my word includes at least five even numbers) (c) Prob (my word begins with a vowel and ends with an even digit)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. Of the 15-letter passwords that include
• 9 letters, chosen from A to Z, without repeats, and
• 6 numbers, chosen from 1 to 9, allowing repeats,
I select one at random. Determine the following probabilities:
(a) Prob (my word begins with A and ends with Z)
(b) Prob (my word includes at least five even numbers)
(c) Prob (my word begins with a vowel and ends with an even digit)
Leave your probabilities in terms of m", Pm, C, and factorials.
Transcribed Image Text:5. Of the 15-letter passwords that include • 9 letters, chosen from A to Z, without repeats, and • 6 numbers, chosen from 1 to 9, allowing repeats, I select one at random. Determine the following probabilities: (a) Prob (my word begins with A and ends with Z) (b) Prob (my word includes at least five even numbers) (c) Prob (my word begins with a vowel and ends with an even digit) Leave your probabilities in terms of m", Pm, C, and factorials.
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