Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.

Question

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.

What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?

Answer 1

= P(3, then 2, no replacement) = (3/8)(2/7) = 3/28 because there are 3 ways to choose 3, out of 8 choices, but subsequently there are just 2 ways out of 7 remaining cards.