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# GMAT Prep Overlapping Sets problem

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Manager
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Joined: 19 Nov 2009
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Concentration: Finance, General Management
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GMAT Prep Overlapping Sets problem  [#permalink]

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20 May 2011, 10:47
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:01) correct 15% (00:49) wrong based on 48 sessions

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I am interested to seeing the different approaches to solving this problem:

A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?

a. 1/10
b. 3/10
c. 1/2
d. 7/10
e. 9/10

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Re: GMAT Prep Overlapping Sets problem  [#permalink]

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20 May 2011, 11:18
1
C+M+B-CM-MB-CB-2CMB = 100

C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.

the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.

50 + 40 + B-CB-MB-20-2CMB = 100

B-CB-MB-2CMB = 30

hence the probability = 30/100 = 3/10.

B
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Re: GMAT Prep Overlapping Sets problem  [#permalink]

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20 May 2011, 11:59
1
probability that the buyer selected will be one who purchases neither cake mix nor muffin mix = 30/100 = 3/10

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: GMAT Prep Overlapping Sets problem &nbs [#permalink] 20 May 2011, 11:59
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# GMAT Prep Overlapping Sets problem

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