A radio station runs a promotion at an auto show with a money box with 13 $50 tickets, 10 $25 tickets, and 14 $5 tickets. The box contains an additional 20 "dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $50 prizes and no other money winners are chosen. The probability that exactly two $50 prizes and no other money winners are chosen is (Round to four decimal places as needed.)