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A box contains balls of two sizes – big and small – and different colo

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Nikhil
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A box contains balls of two sizes – big and small – and different colo [#permalink] New post   01 Dec 2018, 10:07
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A
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E

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95% (hard)

Question Stats:

32% (02:21) correct 68% (02:05) wrong based on 77 sessions
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GMATbuster's Weekly Quant Quiz#11 Ques #2


For Questions from earlier quizzes: Click Here


A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 1/4. What is the probability that the chosen ball is neither blue nor small?

(1) The probability that the chosen ball is not small is 5/8

(2) The probability that the chosen ball is small but not blue is 9/40
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B
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ankitahyd2013
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Re: A box contains balls of two sizes – big and small – and different colo [#permalink] New post   01 Dec 2018, 10:34
workout wrote:

GMATbuster's Weekly Quant Quiz#11 Ques #2


For Questions from earlier quizzes: Click Here


A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 1/4. What is the probability that the chosen ball is neither blue nor small?

(1) The probability that the chosen ball is not small is 5/8

(2) The probability that the chosen ball is small but not blue is 9/40

IMO-A


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harshsaini
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Re: A box contains balls of two sizes – big and small – and different colo [#permalink] New post   01 Dec 2018, 12:00
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P( blue ball)= 1/ 4 P ( not a blue ball) = 3/4

to find = P ( neither a blue nor a small ball)

statement 1
P ( big ball) = 5/8
P ( not a blue ball)=3/4
p = 3/4 * 5/8
statement is suficient

statement 2
P(small)* P(not blue )=9/40
P(small)= 3/10 P (big)= 7/10
P(big)*P(not blue)

statement 2 sufficient

answer is d option
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Re: A box contains balls of two sizes – big and small – and different colo [#permalink] New post   01 Dec 2018, 12:03
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Probability (Blue ball) = 1/4
Probability (Not Blue) = Probablity (other colour) = 3/4

To find Probability (Neither Blue nor small) = Probability (other colour and Big)

Statement 1 : Probability (Not small = Big ) = 5/8
Probability small = 3/8
Can't calculate anything from this..
Insufficient

Statement 2 :
Probability (small and other colour) = 9/40
Probability (big and other colour) = 3/4 - 9/40 = 21/40
Sufficient


Answer B
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Re: A box contains balls of two sizes – big and small – and different colo [#permalink] New post   14 May 2020, 07:45
Let the total number of balls be 40 (which is the LMC of denominators of the given probabilities).
The question translates to :
A box contains balls of two sizes – big and small – and different colors. Number of blue balls is 10 . How many balls are neither blue nor small?

(1) Number of balls not small is 25

(2) Number of balls that are small but not blue is 9

Now treat this as a double matrix problem.
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gmatclubot
Re: A box contains balls of two sizes – big and small – and different colo [#permalink]
14 May 2020, 07:45
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Bunuel
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