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6. Of the 15-letter passwords that include • 4 upper-case letters, chosen from A to Z, allowing repeats, • 5 lower-case letters, chosen from a to z, without repeats, and • 6 numbers, chosen from 1 to 9, without repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes no vowels) (b) Prob (my word has no two numbers next to each other) (c) Prob (my word begins with an upper-case vowel and ends with 9) Leave your probabilities in terms of m", P, C, and factorials.

6. Of the 15-letter passwords that include • 4 upper-case letters, chosen from A to Z, allowing repeats, • 5 lower-case letters, chosen from a to z, without repeats, and • 6 numbers, chosen from 1 to 9, without repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes no vowels) (b) Prob (my word has no two numbers next to each other) (c) Prob (my word begins with an upper-case vowel and ends with 9) Leave your probabilities in terms of m", P, C, and factorials.

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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6. Of the 15-letter passwords that include • 4 upper-case letters, chosen from A to Z, allowing repeats, • 5 lower-case letters, chosen from a to z, without repeats, and • 6 numbers, chosen from 1 to 9, without repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes no vowels) (b) Prob (my word has no two numbers next to each other) (c) Prob (my word begins with an upper-case vowel and ends with 9) Leave your probabilities in terms of m", P, C, and factorials.
Transcribed Image Text:6. Of the 15-letter passwords that include • 4 upper-case letters, chosen from A to Z, allowing repeats, • 5 lower-case letters, chosen from a to z, without repeats, and • 6 numbers, chosen from 1 to 9, without repeats, I select one at random. Determine the following probabilities: (a) Prob (my word includes no vowels) (b) Prob (my word has no two numbers next to each other) (c) Prob (my word begins with an upper-case vowel and ends with 9) Leave your probabilities in terms of m", P, C, and factorials.
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