Probability that a player's pick wins the grand prize
In a certain lottery, k balls are chosen at random and without replacement from a bin containing N balls numbered 1 through N. A player picks k + 2 numbers between 1 and N. The player wins the grand prize if their pick contains all k of the lottery numbers.
(a) Set up a probability space to model this experiment.
(b) Find the probability that a player's pick wins the grand prize.