People are arriving at a party one at a time. While waiting for more people to arrive they entertain themselves by comparing their birthdays. Let X be the number of people needed to obtain a birthday match, i.e., before person X arrives there are no two people with the same birthday, but when person X arrives there is a match. For example, X = 10 would mean that the first nine people to arrive all have different birthdays, but the tenth person to arrive matches one of the first nine. Find P (X = 3 or X = 4).