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If 2 cards are selected (with replacement) at random from the deck of

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If 2 cards are selected (with replacement) at random from the deck of  [#permalink]

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New post 27 Jul 2015, 05:48
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Difficulty:

  65% (hard)

Question Stats:

38% (01:02) correct 62% (01:22) wrong based on 93 sessions

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If 2 cards are selected (with replacement) at random from the deck of 52 cards then What is the probability of one of the selected cards will be King and other will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit

A) 8/663
B) 4/663
C) 4/221
D) 1/169
E) 2/169

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Re: If 2 cards are selected (with replacement) at random from the deck of  [#permalink]

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New post 27 Jul 2015, 05:55
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GMATinsight wrote:
If 2 cards are selected (with replacement) at random from the deck of 52 cards then What is the probability of one of the selected cards will be King and other will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit

A) 8/663
B) 4/663
C) 4/221
D) 1/169
E) 2/169

Source : http://www.GMATinsight.com

Good questions also deserve Kudos :)


4 Kings and 4 queens in a deck of 52 cards.

The probability WITH REPLACEMENT for the combination KQ or QK : 2(KQ) = 2(4/52 * 4/52) = 2/169. E is the correct answer.
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Re: If 2 cards are selected (with replacement) at random from the deck of  [#permalink]

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New post 07 Sep 2015, 06:02
One case: 1/13*1/13=1/169
but we have 2!=2 such cases, (1/169)*2=2/169

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Re: If 2 cards are selected (with replacement) at random from the deck of  [#permalink]

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New post 07 Oct 2018, 04:57
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Re: If 2 cards are selected (with replacement) at random from the deck of &nbs [#permalink] 07 Oct 2018, 04:57
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