In a certain computer system you must identify yourself with a pass- word consisting of a single letter or a letter followed by as many as 6 symbols which may be letters or digits, for example, Z, Zzzzzz6, RUNNER, JIMBO, R2D2. Assuming that any password is as likely to be chosen as any other, what is the probability that John and Mary choose the same password?

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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In a certain computer system you must identify yourself with a pass-
word consisting of a single letter or a letter followed by as many as
6 symbols which may be letters or digits, for example, Z, ZZzzzZ6,
RUNNER, JIMBO, R2D2. Assuming that any password is as likely
to be chosen as any other, what is the probability that John and Mary
choose the same password?
Transcribed Image Text:In a certain computer system you must identify yourself with a pass- word consisting of a single letter or a letter followed by as many as 6 symbols which may be letters or digits, for example, Z, ZZzzzZ6, RUNNER, JIMBO, R2D2. Assuming that any password is as likely to be chosen as any other, what is the probability that John and Mary choose the same password?
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