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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 4. Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on his first try? Round to six decimal places.

User Monksy
by
8.0k points

1 Answer

2 votes

Answer:

.008000

Explanation:

The first digit is either 0,1,2,3,4

P( right guess) = 1/5

The second digit is either 0,1,2,3,4

P( right guess) = 1/5

The third digit is either 0,1,2,3,4

P( right guess) = 1/5

Since they are independent

P( right,right,right) = 1/5*1/5*1/5 = 1/125 =.008

To six decimal places = .008000

User Gmexo
by
8.5k points
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