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.
What is the probability that the hacker guesses the password on his first try? Enter your answer as a decimal or a fraction,
0.126865387
To calculate the probability that the hacker guesses the password on the first try, we need to determine the total number of possible passwords and the number of correct passwords.
Since each character in the password can be either a lowercase letter, an uppercase letter, or a numerical digit, there are a total of 26 + 26 + 10 = 62 possible characters.
Since the password is 14 characters long, there are a total of 62^14 possible passwords.
The hacker is making random guesses, so there is an equal chance of guessing any particular password.
Therefore, the probability of guessing the correct password on the first try is 1 out of the total number of possible passwords:
Probability = 1 / (62^14)
This probability is extremely low due to the large number of possible passwords.
To calculate the probability that the hacker guesses the password on his first try, we need to determine the total number of possible passwords.
In this case, the password is 14 characters long and can be a lowercase letter, an uppercase letter, or a numerical digit.
The total number of possibilities for each character is 26 (lowercase letters) + 26 (uppercase letters) + 10 (numerical digits) = 62.
Since the password has 14 characters, the total number of possible passwords is 62^14 (62 raised to the power of 14).
Therefore, the probability that the hacker guesses the password on his first try is 1 divided by 62^14.
This can be represented as 1/62^14 or as a decimal value (approximately 1.515 x 10^-27).
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