SOLUTION: 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 3. Assume that th

Algebra ->  Probability-and-statistics -> SOLUTION: 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 3. Assume that th      Log On


   

Question 1190644: 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 3. 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.

Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
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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 3 highlight%28inclusive%29.
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  4%5E4  different codes of 4 digits long with the digits from 0 to 3 inclusive.

They are equally likely and only one of these codes works.


So the probability under the question is  1%2F4%5E4 = 1%2F256 = 0.003906  (rounded to six decimal places).    ANSWER

Solved.