Lottery: You enter a lottery by purchasing one of the 500 tickets. There is 1 grand prize winner, 4 second prize winners, and 10 small prize winners. These are selected at random from a bin containing all the tickets.

(a) What is the probability that you will win the grand prize? Express your answer as an exact decimal (not a percent and do not round). (b) What is the probability that you will win a prize of some type? Express your answer as an exact decimal (not a percent and do not round).