In a lottery game, six of the numbers 1 through 54 are chosen by a customer. Then, in a televised drawing, six of these numbers are selected. If all six of a customer’s numbers are selected, then
that customer wins the first prize. If five are selected, the customer wins the second prize. If four
are selected, the customer wins the third prize. What is the probability that any customer will win
the first, second, and third price?