Camila sets up a passcode on her smart phone, which allows only nine-digit codes. A spy sneaks a look at Camila's smart phone and sees her fingerprints on the screen over nine 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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Step 1: Calculate the total number of possible combinations of 9-digit passcodes using the formula for permutations of n objects taken r at a time. Show more…
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