In the Monopoly Millionaires' Club lottery game, you pay $5 and select five different numbers between 1 and 52, and then a sixth number between 1 and 28 is randomly assigned to you. Winning requires that your five numbers match those drawn (in any order), and then your sixth assigned number must also match.

a. What is the probability of selecting the correct five numbers between 1 and 52?

b. What is the probability of getting the correct sixth number that is assigned to you?

c. What is the probability of selecting the correct five numbers and getting the correct sixth number?