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. Of the 15-letter passwords that • Begin with 9 letters, chosen from A to Z, without repeats, and • End with 6 numbers, chosen from 1 to 9, allowing repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes at most one vowel) (b) Prob (my word begins with a vowel or ends with an even number) (c) Prob (my word includes exactly 3 vowels and exactly 3 even numbers)

. Of the 15-letter passwords that • Begin with 9 letters, chosen from A to Z, without repeats, and • End with 6 numbers, chosen from 1 to 9, allowing repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes at most one vowel) (b) Prob (my word begins with a vowel or ends with an even number) (c) Prob (my word includes exactly 3 vowels and exactly 3 even numbers)

A First Course in Probability (10th Edition)
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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4. Of the 15-letter passwords that Begin with 9 letters, chosen from A to Z, without repeats, and • End with 6 numbers, chosen from 1 to 9, allowing repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes at most one vowel) (b) Prob (my word begins with a vowel or ends with an even number) (c) Prob (my word includes exactly 3 vowels and exactly 3 even numbers) Leave your probabilities in terms of m", Pm, C, and factorials.
Transcribed Image Text:4. Of the 15-letter passwords that Begin with 9 letters, chosen from A to Z, without repeats, and • End with 6 numbers, chosen from 1 to 9, allowing repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes at most one vowel) (b) Prob (my word begins with a vowel or ends with an even number) (c) Prob (my word includes exactly 3 vowels and exactly 3 even numbers) Leave your probabilities in terms of m", Pm, C, and factorials.
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