you are watching the washington capitols hockey team play in the stanley cup at the verizon center, which is capable of seating 18,506 fans for a hockey game. assume that all the people present (and the stadium is full) are between the ages of 21 and 60. 1) is it likely, possible, or certain (pick one) that any two or more of these fans have exactly the same birthday (day and year)? 2) some of them are probably the same age (number of years old). you want to bet your friend that at least x of them are the same age. what is the largest number you can choose for x and still be absolutely certain to win your bet?
