A computer system uses passwords that contain exactly 20 characters, and each character is one of the 26 lowercase letters (a-z) or 26 uppercase letters (A-Z) or 10 integers (0-9). Let denote the set of all possible passwords, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Suppose that all passwords in are equally likely. Determine the following probabilities. Round your answers to three decimal places (e.g. 98.765). (a) P(A|B') = i (b) P(A' n B') = i (c) The probability that password contains exactly 2 integers given that it contains at least 1 integer. P = Mi

A computer system uses passwords that contain exactly 20 characters, and each character is one of the 26 lowercase letters (a-z) or 26 uppercase letters (A-Z) or 10 integers (0-9). Let denote the set of all possible passwords, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Suppose that all passwords in are equally likely. Determine the following probabilities. Round your answers to three decimal places (e.g. 98.765). (a) P(A|B') = i (b) P(A' n B') = i (c) The probability that password contains exactly 2 integers given that it contains at least 1 integer. P = Mi

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 7E

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