Three cards are drawn at random from a standard deck of cards, without replacement. Find the probability that the suits of the cards are spades, hearts, spades, in that order.
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The probability that the first card is spades is . After this card is chosen, there are 51 cards, 13 of which are hearts, so the probability the next card is hearts is . Finally, of the 50 remaining cards, 12 are spades, so the probability the last card is also spades is . Hence, our overall probability is