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Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a King and the second card is a Heart?

 Feb 5, 2018
 #1
avatar+3821 
+2

There are 4 kings in a deck of cards, and 13 hearts in a deck of cards. So, the answer is 4/52*13/51, if there are no replacements.

 Feb 5, 2018
 #2
avatar+27469 
+3

Probability that the first card is a king of spades, clubs or diamonds, followed by a heart is p1 = 3/52*13/51

 

Probability that the first card is the king of hearts, followed by a heart is p2 = 1/52*12/51

 

Total probability = p1 + p2 = (3*13 + 1*12)/(52*51) = 51/(52*51) → 1/52

.

 Feb 5, 2018

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