Avery sets up a passcode on her smart phone, which allows only six-digit codes. She has heard that it's more secure if a digit is repeated in the passcode. A spy sneaks a look at Avery's smart phone and sees her fingerprints on the screen over five numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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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Avery sets up a passcode on her smart phone, which allows only six-digit codes. She has heard that it's more secure if a digit is repeated in the passcode. A spy sneaks a look at Avery's smart phone and sees her fingerprints on the screen over five numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

 
 
 
 
 
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