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# Three cards are drawn from a 52 card deck - no replacement. What is th

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Three cards are drawn from a 52 card deck - no replacement. What is th  [#permalink]

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21 Sep 2010, 01:55
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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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Re: Three cards are drawn from a 52 card deck - no replacement. What is th  [#permalink]

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21 Sep 2010, 02:03
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: Three cards are drawn from a 52 card deck - no replacement. What is th  [#permalink]

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22 May 2017, 10:45
There are 4 aces in a deck of 52 cards.

If the first card was ace then the no: of cards that are left out is 51 from which we have to draw two aces.

Now there are only three aces available .

There for the second ace the probability would be 3/51 and for the third ace it would be 2/50 (Since no replacement of cards)

3/51*2/50 = 1/17*1/25 = 1/425.
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Re: Three cards are drawn from a 52 card deck - no replacement. What is th &nbs [#permalink] 22 May 2017, 10:45
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