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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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 May 25, 2020
 #1
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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
 

 May 25, 2020
edited by Guest  May 25, 2020
 #2
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13/850

 May 25, 2020
 #3
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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

 May 25, 2020
edited by ElectricPavlov  May 25, 2020

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