SOLUTION: A card is drawn at a random from a pack of 52 playing cards (without jokers). Find the probabilities of the following events happening: A diamond ace or a spade jack is drawn.

Algebra ->  Permutations -> SOLUTION: A card is drawn at a random from a pack of 52 playing cards (without jokers). Find the probabilities of the following events happening: A diamond ace or a spade jack is drawn.       Log On


   



Question 1174953: A card is drawn at a random from a pack of 52 playing cards (without jokers). Find the probabilities of the
following events happening:
A diamond ace or a spade jack is drawn.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

You want the probability of getting one of these 2 cards:


 
 
A♦

                                                J♠  
 
out of these 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♣ 

That's 2 out of 52.  We write that as the fraction 2%2F52 and
then reduce it to lowest terms as

1%2F26   <--answer

Edwin