Question 697731: What is the probability of this problem. Two cards are drawn from a standard deck of 52 cards without replacement. What is the probability that the first card is an ace and the second is a 2?
Answer by Positive_EV(69)   (Show Source):
You can put this solution on YOUR website! The probability of drawing an ace then a two is equal to the probability of drawing an ace from a full deck times the probability of drawing a two from a deck with an ace removed.
The probability of drawing an ace first is equal to the number of aces in the deck divided by the number of cards in the decks, which is 4/52 = 1/13.
Since the ace is not replaced, the new deck of cards has 51 cards, of which 4 are twos. The probability of drawing a two from this reduced deck is equal to the number of twos over the number of cards, which is 4/51.
The probability of drawing an ace, then a two is the product of these probabilities, which is (1/13)*(4/51) = 4/663.
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