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# Probability

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Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
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Concentration: Social Entrepreneurship, Social Entrepreneurship
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WE: Consulting (Insurance)
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21 Sep 2010, 02:55
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Three cards are drawn from a 52 card deck - no replacement. What is the probability that the last two draws are aces if the first was an ace?

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21 Sep 2010, 03:03
vanidhar wrote:
Three cards are drawn from a 52 card deck - no replacement. What is the probability that the last two draws are aces if the first was an ace?

After the first draw, 51 cards left in the desk, of which 3 are aces. (Since first draw was an ace).

So probability of drawing an ace in the second draw = 3/51

Now, there are 50 cards left and 2 aces

So probability of drawing an ace in the third draw = 2/50

Hence probability of drawing 2 aces after the first one is an ace = 3/51 * 2/50 = 1/425
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Re: Probability   [#permalink] 21 Sep 2010, 03:03
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