What is the probability that the correct password is found on the sixth try?

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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9. A secretary was given n computer passwords and tries the passwords at random. Exactly one
password will permit access to a computer file. Suppose now that the secretary selects a password,
tries it, and – if it does not work – puts it back in with the other passwords before randomly
selecting the next password to try (not a very clever secretary!). What is the probability that the
correct password is found on the sixth try? 

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