Kia is at a prize machine that dispenses random toys. there are 15 prizes left. there are five bouncy balls, 3 toy cars, 2 stickers and 5 dinosaurs. kia gets two prizes, what is the probability that he gets two cars? is it

a. 3/70
b. 3/75
c. 1/35
d. 2/70

If Kia wins a prize, there is a 3/15 chance of getting a toy car when he first gets a prize.  This is because there are 3 cars and a total of 15 prizes.  This fraction can be reduced to 1/5.

After this, there will be one less car and one less prize total.  So if he draws another prize, there will be a 2/14 = 1/7 chance of drawing a toy car.

We multiply these two fractions together to get our answer.  1/7 * 1/5 = 1/35, so B is the correct answer.