A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 14 characters long, and that each character is either a lowercase letter, (a, b, c, etc), an uppercase letter (A, B, C, etc) or a numerical digit (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Assume that the hacker makes random guesses.

Question

What is the probability that the hacker guesses the password on his first try? Enter your answer as a decimal or a fraction, not a

Answer 1

so each of the 14 places can be filled in 26+26+10 or
62 ways

so number of possible passwords of 14 characters
= 62^14 , assuming that the same character can be repeated.

so prob of guessing correctly = 1/62^14
= 8.063 x 10^-26 in scientific notation

Answer 2

what is 8.063*10^-26

Answer 3

How did you get 26?

Answer 4

26 is the number of letters in the alphabet. 26 lowercase and 26 uppercase + 10 numbers

The answer to this is actually 1/62^14

Answer 5

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 11 characters long, and that each character is either a lowercase letter, (a, b, c, etc.), an uppercase letter (A, B, C, etc.) or a numerical digit (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Assume that the hacker makes random guesses.

What is the probability that the hacker guesses the password on his first try? Enter your answer as a decimal or a fraction, not a percentage.

Answer 6

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 8 characters long, and that each character is either a lowercase letter, (a, b, c, etc.), an uppercase letter (A, B, C, etc.) or a numerical digit (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Assume that the hacker makes random guesses.

Answer 7

1.30054283 × 10^27