. 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)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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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