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

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MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 2521
GPA: 4
WE: Engineering (Computer Software)
A box contains balls of two sizes – big and small – and different colo  [#permalink]

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01 Dec 2018, 10:07
00:00

Difficulty:

95% (hard)

Question Stats:

35% (02:21) correct 65% (01:55) wrong based on 44 sessions

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GMATbuster's Weekly Quant Quiz#11 Ques #2

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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Joined: 11 Apr 2017
Posts: 20
Re: A box contains balls of two sizes – big and small – and different colo  [#permalink]

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01 Dec 2018, 10:34
workout wrote:

GMATbuster&#39;s Weekly Quant Quiz#11 Ques #2

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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Intern
Joined: 07 Jun 2018
Posts: 13
Re: A box contains balls of two sizes – big and small – and different colo  [#permalink]

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01 Dec 2018, 12:00
1
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

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Re: A box contains balls of two sizes – big and small – and different colo  [#permalink]

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01 Dec 2018, 12:03
2
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

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Re: A box contains balls of two sizes – big and small – and different colo   [#permalink] 01 Dec 2018, 12:03
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