a hackers is trying to guess somone password the hacker knows that the pasword is 10 characters long and that each charater is either a lowrcase letter(a,b,c,ect)an upercase letter(A,B,C,ect) or numerical digit(0,1,2,3,4,5,6,7,8or9). assume that the hacker makes random guesses.What is the probability that the hacker guesses the password on first try?
can you help me the answer?
there is only 1 which will work
there are (26+26+10)^10 possibilities.
So the chance of getting it right is
1 / 8.4^10^17
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 divide it by the total number of possible guesses.
Since the password is 10 characters long and each character can be a lowercase letter, uppercase letter, or numerical digit, we have a total of 26 lowercase letters, 26 uppercase letters, and 10 numerical digits.
Therefore, the total number of possible characters is 26 + 26 + 10 = 62.
To calculate the total number of possible passwords, we need to raise the total number of possible characters to the power of the password length. In this case, that would be 62^10.
So, the total number of possible passwords is 62^10, which is approximately 839,299,365,868,340,224.
Since the hacker makes random guesses, there is only one possible guess on the first try.
Therefore, the probability that the hacker guesses the password on the first try is 1 / 62^10, which is approximately 1.19 x 10^-19.
To calculate the probability that the hacker guesses the password correctly on the first try, we need to consider the total number of possible passwords and the number of correct passwords.
In this case, the password is 10 characters long and can consist of lowercase letters, uppercase letters, or numerical digits. For each character position, there are 62 possible options (26 lowercase letters + 26 uppercase letters + 10 numerical digits).
To calculate the total number of possible passwords, we need to multiply the number of options for each character position. So, the total number of possible passwords would be (62 options) raised to the power of 10 (10 characters): 62^10.
Now, since the hacker is making random guesses, we assume that each guess is independent of the others. Therefore, the probability of guessing the correct password on the first try would be:
1 / (number of possible passwords) = 1 / 62^10.
Calculating this, we can find the probability that the hacker guesses the password correctly on the first try. However, please note that this probability is extremely low, given the large number of possible passwords.