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# There's a basket containing 10 apples - 7 red and 3 green.

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Current Student
Joined: 31 Aug 2007
Posts: 369
There's a basket containing 10 apples - 7 red and 3 green. [#permalink]

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02 Apr 2008, 10:28
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There's a basket containing 10 apples - 7 red and 3 green. What's the probability that upon drawing 3 apples, we get 2 red and 1 green?
Current Student
Joined: 27 Mar 2008
Posts: 415
Schools: Kellogg Class of 2011

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02 Apr 2008, 10:34
There are three different ways that the apples can be picked (RRG, RGR, GRR)

Let's look at the first case (RRG)

P(RRG) = 7/10*6/9*3/8

Since we said the order of picking apples does not matter, we will have to similarly calculate probability for RGR and GRR cases which works out to the same.

So P(2Red,1Green) = 3*(7/10*6/9*3/8) = 21/40
Senior Manager
Joined: 20 Dec 2004
Posts: 251

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02 Apr 2008, 11:51
$$\frac{C_7^2*C_3^1}{C_{10}^3} = \frac{21}{40}$$
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Current Student
Joined: 31 Aug 2007
Posts: 369

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02 Apr 2008, 12:32
neelesh wrote:
$$\frac{C_7^2*C_3^1}{C_{10}^3} = \frac{21}{40}$$

good, agreed...can you easily solve a related problem: 7-t62090
Re: PS probability--apples   [#permalink] 02 Apr 2008, 12:32
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