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.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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