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A certain manufacturer of cake, muffin, and bread mixes has [#permalink]
20 Sep 2009, 08:32

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Difficulty:

15% (low)

Question Stats:

76% (01:56) correct
23% (01:02) wrong based on 126 sessions

A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase 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?

Re: cake muffin bread probability problem [#permalink]
17 Feb 2012, 07:10

1

This post received KUDOS

Expert's post

A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase 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

Re: cake muffin bread probability problem [#permalink]
01 Jul 2012, 23:01

Bunuel wrote:

A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase 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

I have a question. I got this right, but I still think I'm missing something. If you considered this in a Venn-diagram format, it would be clear that there can be buyer who purchase cake mix and bread mix or muffin mix and bread mix. This would alter the equation somewhat. And I noticed that you didn't consider this. Can you please explain why?
_________________

Re: cake muffin bread probability problem [#permalink]
02 Jul 2012, 00:47

Expert's post

petrifiedbutstanding wrote:

Bunuel wrote:

A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase 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

I have a question. I got this right, but I still think I'm missing something. If you considered this in a Venn-diagram format, it would be clear that there can be buyer who purchase cake mix and bread mix or muffin mix and bread mix. This would alter the equation somewhat. And I noticed that you didn't consider this. Can you please explain why?

I'm not sure that I understand what you mean.

We are told that "A certain manufacturer has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix."

Re: cake muffin bread probability problem [#permalink]
03 Jul 2012, 08:53

Bunuel wrote:

petrifiedbutstanding wrote:

Bunuel wrote:

A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase 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

I have a question. I got this right, but I still think I'm missing something. If you considered this in a Venn-diagram format, it would be clear that there can be buyer who purchase cake mix and bread mix or muffin mix and bread mix. This would alter the equation somewhat. And I noticed that you didn't consider this. Can you please explain why?

I'm not sure that I understand what you mean.

We are told that "A certain manufacturer has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix."

Re: A certain manufacturer of cake, muffin, and bread mixes has [#permalink]
23 Oct 2013, 06:02

fozzzy wrote:

Why does the question mention bread mixes? What's the purpose of that if it isn't used to solve the problem?

I got confused too, the "bread mix" is not necessary to be mentioned (could be cookies, or pasty, you name it), it's just confuses. What it really is, is a 2x2 matrix as shown in the picture.

Attachments

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gmatclubot

Re: A certain manufacturer of cake, muffin, and bread mixes has
[#permalink]
23 Oct 2013, 06:02