Of the 15-letter passwords that are formed by mixing • 9 letters,

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Of the 15-letter passwords that are formed by mixing
• 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:

4. Of the 15-letter passwords that are formed by mixing
• 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, Cm, and factorials.
n
Transcribed Image Text:4. Of the 15-letter passwords that are formed by mixing • 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, Cm, and factorials. n
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