SOLUTION: In a standard deck of playing cards, there are 52 total cards. Half of the cards are red and half of the cards are black. There are 4 aces to a deck, two of which are red aces.

Algebra ->  Probability-and-statistics -> SOLUTION: In a standard deck of playing cards, there are 52 total cards. Half of the cards are red and half of the cards are black. There are 4 aces to a deck, two of which are red aces.       Log On


   

Question 1186527: In a standard deck of playing cards, there are 52 total cards. Half of the cards
are red and half of the cards are black. There are 4 aces to a deck, two of
which are red aces.
What is the probability that a randomly-chosen card from a standard deck of
playing cards will be a red card or an ace?
Explain what the probability you determined in Part A means in terms of the deck
of cards.
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
In a standard deck of playing cards, there are 52 total 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♣

Half of the cards are red
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♦

and half of the cards are black.
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♣

There are 4 aces to a deck,
A♥ 
A♦
A♠   
A♣
 

two of which are red aces.


A♥  
A♦
   

What is the probability that a randomly-chosen card from a standard deck of

playing cards will be a red card or an ace?
It will be one of these 28 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♠     
A♣   

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♣ 

So the probability is '28 out of 52', so we make this fraction: 28/52, and
reduce it to 7/13, which is the answer.

Explain what the probability you determined in Part A means in terms of the deck
of cards.
You tell the story of the above in your own words.

Edwin