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

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CEO
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Joined: 08 Jul 2010
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If 2 cards are selected (with replacement) at random from the deck of  [#permalink]

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27 Jul 2015, 04:48
1
3
00:00

Difficulty:

75% (hard)

Question Stats:

40% (01:19) correct 60% (01:46) wrong based on 100 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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27 Jul 2015, 04:55
1
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.
Director
Joined: 23 Jan 2013
Posts: 556
Schools: Cambridge'16
Re: If 2 cards are selected (with replacement) at random from the deck of  [#permalink]

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07 Sep 2015, 05:02
One case: 1/13*1/13=1/169
but we have 2!=2 such cases, (1/169)*2=2/169

E
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Posts: 9856
Re: If 2 cards are selected (with replacement) at random from the deck of  [#permalink]

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07 Oct 2018, 03:57
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If 2 cards are selected (with replacement) at random from the deck of   [#permalink] 07 Oct 2018, 03:57
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