Answer:
A) the probability than your password is selected is 4.58·10^(-15)
B) If your password is in event A, the probability than your password is selected is 5.46·10^(-15)
C) If your password is in event A and B, the probability than your password is selected is 6.51·10^(-15)
Step-by-step explanation:
The probability than one of the characters c in one specific position is equal to the selected by the hacker h is:
A) Because there is no restriction in the first case, the probability than a hacker matchup all the eight characters can be calculated as:
B) If your password is in event A, the first character has limited its number of possibilities to 52, while the other 7 characters keeps the probability of 1/62 each. Therefore:
C) If your password is in event A and B, the first and last character has limited its number of possibilities to 52, while the other 6 characters keeps the probability of 1/62 each. Therefore: