1. Suppose a bank uses 4-digit personal identification numbers, ranging from 0000 to 9999. 12 points i. What is the probability that a card thief guesses a PIN correctly on the Ist guess of 4 digits? 4 points ii. A thief notices smudged fingerprints on exactly 4 keys, leaving him to just guess the order. What is the probability that the thief gets the order right on the first try? 3 points iv. A thief finds a Post-It note with a hard-to-read PIN on it. The first digit is definitely a 1, the second is either a 1 or 7, the third is either a 4 or 9, and the last digit is a smear that could be anything. What is the probability of guessing the PIN correctly on the first try? 5 points