You decide to start taking coins out of your piggy bank. Currently, your piggy bank has 44 coins, of which 12 are toonies and 5 are loonies. Suppose that when you take a coin out, you do not put it back in the piggy bank; you are picking coins without replacement. (Round to 4 decimal places, if needed.)

(a) What is the probability that the third coin you pick is the first toonie you find?

(b) What is the probability that at least one of the first two coins you pick is a toonie?

(c) What is the probability that the first three coins you pick are all either loonies or toonies?