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DS: Probability

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by ikaplan » Tue Sep 13, 2011 11:42 am
There are 300 people in a conference hall. Each person is either an engineer or a professor or both or only a journalist. What is the probability that a person randomly picked from the hall is a journalist?

(1) There are 200 people who are an engineer or a professor
(2) There are 200 people who are exclusively an engineer or a professor

OA is A

My reasoning:
Statement (1) states that E + P + EP= 200
Based on this, the probability of being a journalist can be calculated; so, statement (1) is sufficient

However, statement (2) says that E + P=200

My question:
Is this a typical GMAT question because, according to my reasoning, the statements collide.
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Source: — Data Sufficiency |
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by akhilsuhag » Tue Sep 13, 2011 12:00 pm
I haven't worked on the question. But on your other query, statements can't collide on the GMAT. Statements have to be true and compliment each other.
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by akhilsuhag » Tue Sep 13, 2011 12:02 pm
But in this case obviously A is sufficient.

Further, both statements together are giving that EP is 0.

They are not necessarily colliding!!
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by winniethepooh » Tue Sep 13, 2011 9:02 pm
ikaplan wrote:There are 300 people in a conference hall. Each person is either an engineer or a professor or both or only a journalist. What is the probability that a person randomly picked from the hall is a journalist?

(1) There are 200 people who are an engineer or a professor
(2) There are 200 people who are exclusively an engineer or a professor

OA is A

My reasoning:
Statement (1) states that E + P + EP= 200
Based on this, the probability of being a journalist can be calculated; so, statement (1) is sufficient

However, statement (2) says that E + P=200

My question:
Is this a typical GMAT question because, according to my reasoning, the statements collide.
Hi, what's the source?
Is there any explanation given with the OA, is yes please post!
thanks.
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by ikaplan » Tue Sep 13, 2011 11:24 pm
Source: NOVA's DS Prep Course, p.90

The explanation was in line with my reasoning.

akhilsuhag is right: I didn't consider that EP can be 0. In that case, both statements are true and compliment each other.
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by mankey » Wed Sep 28, 2011 10:00 am
Some expert please respond on this one.

Thanks
Mankey
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