SOLUTION: a card is drawn from a well-shuffled deck of 52 card. Find P(drawing an ace or a 9)

Question 1096763: a card is drawn from a well-shuffled deck of 52 card. Find P(drawing an ace or a 9)
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!


Here are all possible 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 the only "successful" cards:
 
A♥                                     9♥  
A♦                                     9♦
A♠                                     9♠   
A♣                                     9♣  

Count them! There are 8 "successful" cards out of 52 possible cards,

In probability theory, when all possibilities are equally likely,

"out of" means "over". So 8 out of 52 is a probability of 8/52 which 
reduces to 2/13.

Edwin

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