SOLUTION: A card is drawn from a standard deck of 52 playing cards. what is the probability that the card is a spade and not a face card?

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Question 768724: A card is drawn from a standard deck of 52 playing cards. what is the probability that the card is a spade and not a face card?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A card is drawn from a standard deck of 52 playing cards. what is the probability that the card is a spade and not a face card?
That's the probability that we draw one of the these 10
cards that is a spade but not a face card:

A♠   2♠   3♠   4♠   5♠   6♠   7♠   8♠  9♠  10♠

out of these 52:
 
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 a probability of 10 out ot 52.

In probability, "out of" means "over", so

the probability is 10 over 52 or 10%2F52

which reduces to 5%2F26

Edwin