SOLUTION: You are dealt one card from a 52 card deck. Find the probability of being dealt a club or a non picture card.

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Question 1066346: You are dealt one card from a 52 card deck. Find the probability of being dealt a club or a non picture card.
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Here are all the cards in a deck.  Count them. There are 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♣

Now I will remove all the cards that aren't either a club or a 
non-picture card.


 
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♣  J♣  Q♣  K♣

Count them.  There are 43.

So there are 43 ways out of 52 of getting a club or a non-picture card.

So the probability is 43 out of 52 or 43/52.

Edwin
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
There are 13 clubs
--------------------
There are 4 suits, each of which has 3 picture cards,
so there are 12 picture cards
There are NON-picture cards
--------------------------------------------
The overlap is the clubs that are non-picture cards,
so subtract 10 cards ( ace through 10 of clubs ) in order
to avoid counting cards twice

----------------------
So, the probability of picking a club OR non-picture card is:

----------------------
Get a 2nd opinion if needed


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