Camila sets up a passcode on her smart phone, which allows only four-digit codes. She has heard that it's more secure if a digit is repeated in the passcode. A spy sneaks a look at Camila's smart phone and sees her fingerprints on the screen over three 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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Camila sets up a passcode on her smart phone, which allows only four-digit codes. She has heard that it's more secure if a digit is repeated in the passcode. A spy sneaks a look at Camila's smart phone and sees her fingerprints on the screen over three 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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