For a certain computer program a password must be exactly 5 characters long. The first character must be a mnber 0-8, the second, third and fourth character can either be one of the 26 letters or a number 0-5, the fifth character has to be exactly the same as the second character.

A. How many possible passwords are there?

B. What is the probability of someone guessing your password on the first try?

A. 294912

A. To find the number of possible passwords, we need to determine the possible options for each character position and then multiply them together.

For the first character, there are 9 possible options (digits 0-8).

For the second, third, and fourth characters, there are 36 possible options in total (26 letters + 10 digits) since any letter (upper or lowercase) or digit 0-5 is allowed.

For the fifth character, it must be the same as the second character, so there is only 1 possible option.

To calculate the total number of possible passwords, we multiply the number of options for each character position:

Total = (9 options for the first character) * (36 options for the second character) * (36 options for the third character) * (36 options for the fourth character) * (1 option for the fifth character)

Total = 9 * 36^3 * 1

B. To calculate the probability of someone guessing your password on the first try, we need to compute the probability as the number of successful outcomes (guessing the correct password) divided by the total number of possible outcomes (all possible passwords).

Since the password must be exactly 5 characters long and follow the given criteria, the probability of guessing it correctly on the first try is:

Probability = 1 (successful outcome) / Total (total number of possible passwords)