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

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

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New post 23 Sep 2008, 20:21
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A
B
C
D
E

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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
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Joined: 21 Sep 2008
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Re: PS-Probability [#permalink]

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

Hence Option B

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Manager
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Re: PS-Probability [#permalink]

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New post 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

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Director
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Re: PS-Probability [#permalink]

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New post 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

Kudos [?]: 204 [0], given: 1

Re: PS-Probability   [#permalink] 24 Sep 2008, 18:21
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A gardener is going to plant 2 red rosebushes and 2 white

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