SOLUTION: What is the probability that you will be dealt a 5 card hand that contains no Face Cards?

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Question 1069396: What is the probability that you will be dealt a 5 card hand that
contains no Face Cards?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!


The probability is these 40 cards choose 5, or 40C5
 
A♥   2♥   3♥   4♥   5♥   6♥   7♥   8♥  9♥  10♥  
A♦   2♦   3♦   4♦   5♦   6♦   7♦   8♦  9♦  10♦
A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠  
A♣   2♣   3♣   4♣   5♣   6♣   7♣   8♣  9♣  10♣ 

out of these 52 cards choose 5, or 52C5
 
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♣ 

That's %2840C5%29%2F%2852C5%29=658008%2F2598960+=+2109%2F8330

Edwin