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Probability- spades, kings, queens

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by ikaplan » Thu Sep 08, 2011 1:58 pm
If a card is picked up at random from a pack of 52 cards, find the probability that it is a 'spade' or a 'king' or a 'queen'.

(A) 21/52
(B) 5/13
(C) 19/52
(D) 15/52
(E) None of these

Source: Quantitative Aptitude CAT (Arun Sharma)
"Commitment is more than just wishing for the right conditions. Commitment is working with what you have."
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by n@resh » Thu Sep 08, 2011 3:14 pm
ikaplan wrote:If a card is picked up at random from a pack of 52 cards, find the probability that it is a 'spade' or a 'king' or a 'queen'.

(A) 21/52
(B) 5/13
(C) 19/52
(D) 15/52
(E) None of these

Source: Quantitative Aptitude CAT (Arun Sharma)
13spades + 4 kings + 4 Queens => 21/52.
hence A!
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by Ian Stewart » Thu Sep 08, 2011 4:27 pm
You don't need to know anything about cards for the GMAT, but there are 13 spades in a deck, including the K and Q of spades. There are 3 other (non-spade) Queens and 3 other Kings, for a total of 19 cards which are spades, kings or queens. So the answer is 19/52 (you need to be careful here not to double-count the king and queen of spades).
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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by n@resh » Thu Sep 08, 2011 8:36 pm
Ian Stewart wrote:You don't need to know anything about cards for the GMAT, but there are 13 spades in a deck, including the K and Q of spades. There are 3 other (non-spade) Queens and 3 other Kings, for a total of 19 cards which are spades, kings or queens. So the answer is 19/52 (you need to be careful here not to double-count the king and queen of spades).
Oh, yeap..i messup...spade consists a king and queen.

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by ikaplan » Fri Sep 09, 2011 3:16 am
I got 21/52 and my answer was incorrect- that is why I referred to the forum.

Thanks for the hint- I guess such tips will make us more 'trap vigilant' (which is key for success on the GMAT)
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