A card shop contains 5 birthday cards, 4 holiday cards, and 3 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be graduation cards?\nOptions:\n(A) 1/33\n(B) 6/264\n(C) 1/44\n(D) 1/264\n(E) 1/1320 Now, let's think a bit. Some random thoughts:
User
It doesn't matter which type of card you choose, so:\nProbability of choosing 1st card: 3/12\nProbability of choosing 2nd card of the same type: 2/11\nProbability of choosing 3rd card of the same type: 1/10\nMultiply and you get 1/264
The final answer: (D).
Assistant