SOLUTION: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or 5? (Your answer must be in the form of a

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Question 1048098: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or 5? (Your answer must be in the form of a reduced fraction.)
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Here are all 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♣

Here are all the cards that are either a club or a 5:


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

Count them.  There are 16.

So the probability is 16 out of 52 or 16/52 which reduces to 4/13.

Edwin
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