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

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

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New post 22 May 2017, 11:45
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   [#permalink] 22 May 2017, 11:45
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