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
+36916 1st card spape is 13 out of 52 now there is 51 cards left (and only 12 spades)
2nd card hearts is 13 out of 51 now there is 50 cards left
3rd card spade is 12 out of 50
13/52 * 13/51 * 12/50 = 13/850
