SOLUTION: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 3 digits long, and that each digit could be a number between 0 and 3. Assume that

Algebra ->  Probability-and-statistics -> SOLUTION: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 3 digits long, and that each digit could be a number between 0 and 3. Assume that       Log On


   

Question 1182166: A hacker is trying to guess someone's password.
The hacker knows (somehow) that the password is 3 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 the 1st try?
Round to six decimal places.
Probability = ______
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 choices (0,1,2,3) for each of three digits, this is the number of possible passwords: 4*4*4

Only one of which is the correct password, making the probability 1/(4*4*4)

You can compute the decimal and round as needed.