A car dealership has 8 red, 12 silver, and 5 black cars on the lot. 10 cars are randomly chosen to be displayed in front of the dealership. (a) Find the probability that 4 cars are red and the rest are silver ______ (Round four decimal places as needed.)

(b) Find the probability that 5 cars are red and 5 are black ______ (round six decimal places as needed.)

(c) Find the probability that exactly 8 cars are red ________ (round five decimal places as needed.)