Extended Problems: Probability Solve the problems. When you have finished, submit this assignment to your teacher by the due date for full credit. Quincy is opening a bank account. He needs to create a personal identification number (PIN) for the automated teller machine and a password for online access to his account. (4 points) Score 1. Quincy's PIN must be a 4-digit number. (a) Quincy asks the bank representative if digits can be used more than once. The representative says, "Yes, allowing for repetition reduces the likelihood of someone guessing your password." Explain why this is true and calculate the probability of someone guessing a PIN in one try under each scenario. (b) Someone saw the last digit of Quincy's PIN as he was typing it on the keypad of an automated teller machine. What is the probability of this person now guessing Quincy's password in one try? Explain how you determined the answer.