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Probability

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Probability [#permalink]

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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?

Please explain the method
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Re: Probability [#permalink]

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New post 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?

Please explain the method


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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