SOLUTION: 1 card is drawn from a 52 card deck what are the probabilities of getting: A. clubs or red queen B. not a face card C not a face card or number

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Question 743525: 1 card is drawn from a 52 card deck what are the probabilities of getting:
A. clubs or red queen
B. not a face card
C not a face card or number
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Here's a deck of 52 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♣ 

The probability of getting a club or a red queen is the probability of
getting any one of these 15 cards:


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

So the desired probability is 15 out of the 52 or 

--------------------------------------------------------------

The probability of getting a card that is not a face card is the probability of
getting any one of these 40 cards:


 
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♣

So the desired probability is 40 out of the 52 or  which
reduces to 

--------------------------------------------------------------

The probability of getting a card that is neither a face card nor a number
is the probability of getting any one of these 4 aces:


 
A♥   
A♦ 
A♠           
A♣

So the desired probability is 4 out of the 52 or  which
reduces to 

--------------------------------------------------------------      

Edwin
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