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# A gardener is going to plant 2 red rosebushes and 2 white

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Manager
Joined: 10 Oct 2008
Posts: 56
A gardener is going to plant 2 red rosebushes and 2 white  [#permalink]

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17 Oct 2008, 08:43
A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?

A. 1/12
B. 1/6
C. 1/5
D. 1/3
E. 1/2

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VP
Joined: 30 Jun 2008
Posts: 1004

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18 Oct 2008, 23:45
Jcpenny wrote:
A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?

A. 1/12
B. 1/6
C. 1/5
D. 1/3
E. 1/2

We have 4 rosebushes. RR WW

total no of arrangements = ( 4! )/( 2! * 2! ) = 6

now total number of ways to arrange the rosebushes such that the middle two are Red = 1 {only one way WRRW}

So the probability is 1/6

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To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: rose &nbs [#permalink] 18 Oct 2008, 23:45
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# A gardener is going to plant 2 red rosebushes and 2 white

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