the experiment of drawing two cards without replacement from a 52 deck of cards. What is the probability of drawing a hearth and speade?

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The probability of drawing a heart from a deck of cards is 13/52, or 1/4. Since you are not replacing the cards, there are 51 cards left after drawing a heart. The probability of drawing a spade is therefore 13/51. Multiplying these probabilities yields 1/4 * 13/51 = 13/204, which is your answer.