This exercise is on probabilities and coincidence of shared birthdays. Complete parts (a) through (e) below. a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is years and assume 365 days in a year.) 364 365 365 365 Explain why this is so. (Ignore leap The first person can have any birthday, so they can have a birthday on 365 of the 365 days. In order for the second person to not have the same birthday they must have one of the 364 remaining birthdays. (Type whole numbers.) b. If four people are selected at random, find the probability that they all have different birthdays. The probability that they all have different birthdays is (Round to three decimal places as needed.)