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# There are 100 buyers of baking materials. 50 buy cake mix,

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Senior Manager
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27 Nov 2007, 18:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

There are 100 buyers of baking materials. 50 buy cake mix, 40 buy muffin mix, and 20 buy both cake and muffin mix. If one buyer is selected at random, what is the probability that he/she does not purchase cake OR muffin mix?
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27 Nov 2007, 19:50
I get 50% chance. 30% that we will pick someone not buying anything + 20% someone who bought both cake AND mix.

What's the OA?
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27 Nov 2007, 19:58
asdert wrote:
I get 50% chance. 30% that we will pick someone not buying anything + 20% someone who bought both cake AND mix.

What's the OA?

I miswrote the problem, it's supposed to be the probability that someone will not buy anything.

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27 Nov 2007, 20:03
rajpdsouza wrote:
There are 100 buyers of baking materials. 50 buy cake mix, 40 buy muffin mix, and 20 buy both cake and muffin mix. If one buyer is selected at random, what is the probability that he/she does not purchase cake OR muffin mix?

Double set matrix is easier. N muffin mix and no cake mix =30 people. so 30/100--> 30%
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27 Nov 2007, 20:18
GMATBLACKBELT wrote:
rajpdsouza wrote:
There are 100 buyers of baking materials. 50 buy cake mix, 40 buy muffin mix, and 20 buy both cake and muffin mix. If one buyer is selected at random, what is the probability that he/she does not purchase cake OR muffin mix?

Double set matrix is easier. N muffin mix and no cake mix =30 people. so 30/100--> 30%

how would you set up a DSM here?
CEO
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27 Nov 2007, 21:31
rajpdsouza wrote:
GMATBLACKBELT wrote:
rajpdsouza wrote:
There are 100 buyers of baking materials. 50 buy cake mix, 40 buy muffin mix, and 20 buy both cake and muffin mix. If one buyer is selected at random, what is the probability that he/she does not purchase cake OR muffin mix?

Double set matrix is easier. N muffin mix and no cake mix =30 people. so 30/100--> 30%

how would you set up a DSM here?

Attachments

Muffin Mix Matrix.xls [13.5 KiB]

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27 Nov 2007, 22:10
rajpdsouza wrote:
There are 100 buyers of baking materials. 50 buy cake mix, 40 buy muffin mix, and 20 buy both cake and muffin mix. If one buyer is selected at random, what is the probability that he/she does not purchase cake OR muffin mix?

Total - Neither = Cake Only + Muffin Only - Both
Neither = 100 - (50 + 40 -20) = 30
probability = 30/100 = 3/10
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16 Dec 2007, 10:14
GK_Gmat wrote:
rajpdsouza wrote:
There are 100 buyers of baking materials. 50 buy cake mix, 40 buy muffin mix, and 20 buy both cake and muffin mix. If one buyer is selected at random, what is the probability that he/she does not purchase cake OR muffin mix?

Total - Neither = Cake Only + Muffin Only - Both
Neither = 100 - (50 + 40 -20) = 30
probability = 30/100 = 3/10

Re: Probability   [#permalink] 16 Dec 2007, 10:14
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