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# i) From an ordinary deck of cards, only 12 picture cards are

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Senior Manager
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i) From an ordinary deck of cards, only 12 picture cards are [#permalink]  15 Oct 2008, 05:14
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(i) From an ordinary deck of cards, only 12 picture cards are retained. They are shuffled (mixed) and a man draws 2 cards at random. He then announce one of these cards is the King or Spades. What is the probability that he holds two Kings?

(ii) The 2 cards are replaced and the cards re-shuffled. He then draws 2 cards, and announces that he holds at least one King. Find the probability that he holds two Kings in his hand
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Re: PSP003 [#permalink]  16 Oct 2008, 07:23
i get 1/11 for both,

what is the OA?
Manager
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Re: PSP003 [#permalink]  16 Oct 2008, 09:38
I am also getting 1/11 for both

vivek, are you sure both the questions are right. they ask the same thing.
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Re: PSP003 [#permalink]  17 Oct 2008, 00:31
ALD wrote:
I am also getting 1/11 for both

vivek, are you sure both the questions are right. they ask the same thing.

i have downloaded these question from some where, the OAs are (i) 3/11 (ii) 3/19
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Re: PSP003 [#permalink]  17 Oct 2008, 02:25
I understood why it should be 3/11 for the first.

Basically, the person has already one king in his hand. Hence, the probability of getting another king out of a total of remaining 11 cards is 3C1/11C1 = 3/11.

But, I am not sure how the second one has got 3/19.
Re: PSP003   [#permalink] 17 Oct 2008, 02:25
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# i) From an ordinary deck of cards, only 12 picture cards are

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