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Three cards are chosen at random from a standard deck of cards, without replacement. What is the probability that the first card is hearts, the second card is spades, and the third card is also hearts?

 Mar 14, 2020
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The probability that the first card is a heart is 13/52.

The probability that the second card is a spade is 13/51.         (only 51 cards remain)

The probability that the third card is another heart is 12/50.     (only 50 cards remain, only 12 hearts remain)

 

Since these are independent events, the total probability is found by multiplying these three numbers together.

 Mar 14, 2020

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