Final answer:
The probability of selecting a 3-digit PIN with no repeated digits is 1/720.
Step-by-step explanation:
The probability of selecting a 3-digit personal identification number (PIN) with no repeated digits can be calculated by considering the number of favorable outcomes and the total number of possible outcomes. In this case, there are 10 choices for the first digit, 9 choices for the second digit (since the first digit has already been chosen), and 8 choices for the third digit (since the first two digits have already been chosen). Therefore, the total number of possible 3-digit PINs is 10 * 9 * 8 = 720. The probability of selecting a PIN with no repeated digits is the number of favorable outcomes (720) divided by the total number of possible outcomes (720). So the probability is 1/720.