Cards

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 401
Joined: Tue May 24, 2011 1:14 am
Thanked: 37 times
Followed by:5 members

Cards

by MBA.Aspirant » Wed Jun 15, 2011 9:28 pm
A standard deck of 52 cards is shuffled and once card is drawn. What's the probability the the card is an ace or a face card?

It seems like an easy one but I don't know how many aces or faces exist in the deck..? Is it 4 aces and 12 faces?
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 2623
Joined: Mon Jun 02, 2008 3:17 am
Location: Montreal
Thanked: 1090 times
Followed by:355 members
GMAT Score:780

by Ian Stewart » Wed Jun 15, 2011 9:37 pm
MBA.Aspirant wrote:A standard deck of 52 cards is shuffled and once card is drawn. What's the probability the the card is an ace or a face card?

It seems like an easy one but I don't know how many aces or faces exist in the deck..? Is it 4 aces and 12 faces?
Yes, four Aces, four Kings, four Queens and four Jacks, so the answer would be 16/52 = 4/13. Fortunately you don't need to know anything at all about standard decks of cards for the GMAT.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

ianstewartgmat.com

User avatar
GMAT Instructor
Posts: 905
Joined: Sun Sep 12, 2010 1:38 am
Thanked: 378 times
Followed by:123 members
GMAT Score:760

by Geva@EconomistGMAT » Wed Jun 15, 2011 9:37 pm
MBA.Aspirant wrote:A standard deck of 52 cards is shuffled and once card is drawn. What's the probability the the card is an ace or a face card?

It seems like an easy one but I don't know how many aces or faces exist in the deck..? Is it 4 aces and 12 faces?
This feels like a concept a real GMAT question won't count on your general knowledge to include - it's not general knowledge like the number of days in a week, or the meaning of "leap year". So A real problem will specify the actual number.

There are four suits in a standard deck (clubs, hearts, diamonds and spades), and each suit contains 13 cards: number cards 2-10, face cards Jack, Queen, King, and an Ace. So 3 face cards times four suits makes 12 face cards, plus four aces makes for 16 wanted cards out of 52.
Geva
Senior Instructor
Master GMAT
1-888-780-GMAT
https://www.mastergmat.com