A certain basket contains 10 apples, 7 of which are red and : PS Archive
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# A certain basket contains 10 apples, 7 of which are red and

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A certain basket contains 10 apples, 7 of which are red and [#permalink]

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12 Dec 2006, 06:33
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A certain basket contains 10 apples, 7 of which are red and three of which are green. If 3 different apples are to be selected at random from the basket, what is the probability that 2 of the apples selected will be red and 1 will be grean?

A. 7/40
B. 7/20
C. 49/100
D. 21/40
E. 7/10
Director
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12 Dec 2006, 06:39
My pick is D...

Possibilities: RRG, RGR, GRR

RRG=7/10*6/9*3/8=7/40
RGR=7/10*3/9*6/8=7/40
GRR=3/10*7/9*6/8=7/40

Total probability=7/40+7/40+7/40=21/40
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15 Dec 2006, 20:32
A certain basket contains 10 apples, 7 of which are red and three of which are green. If 3 different apples are to be selected at random from the basket, what is the probability that 2 of the apples selected will be red and 1 will be grean?

A. 7/40
B. 7/20
C. 49/100
D. 21/40
E. 7/10
------------------------------

10, 7 R, 3G
ans = 7C2* 3C1 / 10C3= (7*6 *3 *6)/(2*10*9*8) = 21/40

D
Senior Manager
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Re: Gmatprep: PS - probability [#permalink]

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15 Dec 2006, 21:04
favourable = 7c2 *3c1
total = 10c3

hence p = 21/40
Re: Gmatprep: PS - probability   [#permalink] 15 Dec 2006, 21:04
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