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

Author Message
Senior Manager
Joined: 05 Jun 2008
Posts: 291
A gardener is going to plant 2 red rosebushes and 2 white [#permalink]

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23 Sep 2008, 20:21
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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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
Pl explain how to solve it

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Intern
Joined: 21 Sep 2008
Posts: 16

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24 Sep 2008, 03:45
Prob = 2C1*2C1 / 4!
= 1/6

Hence Option B
Manager
Joined: 28 Aug 2008
Posts: 95

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24 Sep 2008, 16:49
B

I approached it a different way but still arrived at the same answer.

If we know the first rose selected will be white:

Prob of selecting a Red rose next = 1/3
Prob of than selecting another red = 1/2

1/3 * 1/2 = 1/6
Director
Joined: 01 Jan 2008
Posts: 601

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24 Sep 2008, 18:21
two ways of putting two red roses in the middle.
two ways of putting two white roses on the ends.
4! ways of arranging 4 roses

2*2/4! = 1/3! = 1/6 -> B

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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.
Re: PS-Probability   [#permalink] 24 Sep 2008, 18:21
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