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# A basket contains red and green balls. If two balls are drawn from

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Current Student
Joined: 27 May 2014
Posts: 524
GMAT 1: 730 Q49 V41
A basket contains red and green balls. If two balls are drawn from  [#permalink]

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19 Jan 2018, 08:16
00:00

Difficulty:

65% (hard)

Question Stats:

39% (01:06) correct 61% (00:50) wrong based on 23 sessions

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A basket contains red and green balls. If two balls are drawn from the basket without replacement, what is the probability that both balls are red?

(1) If the balls were drawn with replacement, the probability of both balls being red would have been (2/5)^2
(2) The ratio of red and green balls in the basket is 2:3

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Re: A basket contains red and green balls. If two balls are drawn from  [#permalink]

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19 Jan 2018, 09:15
1
saswata4s wrote:
A basket contains red and green balls. If two balls are drawn from the basket without replacement, what is the probability that both balls are red?

(1) If the balls were drawn with replacement, the probability of both balls being red would have been (2/5)^2
(2) The ratio of red and green balls in the basket is 2:3

Both the statements tell the SAME thing that the ratio of red:green is 2:3..
but we do not know the exact number..

(1) If the balls were drawn with replacement, the probability of both balls being red would have been (2/5)^2
this tells us that Red:total = 2:5..
if total are 5.. P of picking red both times without replacement will be 2/5 *1/4=1/10
but if total are 10.. red will be 2/5*10=4..
P = 4/10*3/9=2/15.
so different possibilities..
insuff

(2) The ratio of red and green balls in the basket is 2:3
R:G = 2:3 means R:T = 2:(2+3)..
same as statement I..
insuff

E

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

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: A basket contains red and green balls. If two balls are drawn from &nbs [#permalink] 19 Jan 2018, 09:15
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# A basket contains red and green balls. If two balls are drawn from

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