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MBA.Aspirant: Master | Next Rank: 500 Posts; Posts: 401; Joined: Tue May 24, 2011 1:14 amFollowed by: 5 members; Thanked: 37 times

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?

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Source: Beat The GMAT — Problem Solving | Wed Jun 15, 2011 9:28 pm

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; 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

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Geva@EconomistGMAT: GMAT Instructor; Posts: 905; Joined: Sun Sep 12, 2010 1:38 amFollowed by: 123 members; Thanked: 378 times; 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.

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