A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 4 digits long, and that each digit could be a number between 0 and 4. Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on her first try? Round to six decimal places.
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There are 6%5E3 different codes of 3 digits long with the digits from 0 to 5 inclusively.
They are equally likely and only one of these codes work.
So the probability under the question is 1%2F6%5E3 = 0.004630 (rounded to six decimal places).
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