SOLUTION: Two cards are drawn without replacement from the ordinary deck, find the probability that the second is not a face card given that the first is a face card.

Question 1002262: Two cards are drawn without replacement from the ordinary
deck, find the probability that the second is not a face
card given that the first is a face card.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Two cards are drawn without replacement from the ordinary
deck, find the probability that the second is not a face
card given that the first is a face card.


A deck of 52 cards contains 12 face cards, and 40 non-face 
cards. 


 
A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥  J♥  Q♥  K♥ 
A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦  J♦  Q♦  K♦
A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠  J♠  Q♠  K♠  
A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣  J♣  Q♣  K♣ 

Since we are given that the first card has been drawn and it was a
face card and we are not going to replace it before drawing a second
card, then

we have a 51-card deck with only 11 face cards and still 40 non-face 
cards.

So the probability is 40 ways out of 51.

Answer 40/51

Edwin

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