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 9. Assume that th

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Question 1190198: 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 9. Assume that the hacker makes random guesses.
What is the probability that the hacker guesses the password on his first try? Please report the answer to four decimal places.
Probability =
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
it is 1 in 10000; 1 in 10 for each digit and they are independent, so the probabilities are multiplied.
0.0001
0.1^4
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
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 9 . Assume that the hacker makes random guesses.
What is the probability that the hacker guesses the password on his first try? Please report the answer to four decimal places.
~~~~~~~~~~~~~~ 

Based on presented info, there are  = 10000 possible passwords.


The probability to guess randomly right password is  P =  = 0.0001.    ANSWER

Solved.



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