An urn contains 10 red chips, 6 black chips, and 2 blue chips. You are to randomly select 2 chips without replacement. You win the game if both chips are black. What is the probability that you win?

Question

How do I do this question

Answer 1

18 chips total, 6 black chips, probability select black chip on first draw is 6/18 = 1/3

17 chips total, 5 black chips, probability select black chip on second draw is 5/17

probability select black chip on first and second draw = 1/3 * 5/17 = 5/51