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Each person in a room attends exactly one of the three colleges A, B,

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Each person in a room attends exactly one of the three colleges A, B, [#permalink]

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Each person in a room attends exactly one of the three colleges A, B, and C. What is the probability that a person selected at random from the people in the room attends college B?

(1) The number of people in the room attending college B is 20 less than the sum of the numbers of people in the room attending colleges A and C.

(2) The ratio of the number people in the room attending college B to the sum of the numbers of people in the room attending colleges A and C is 2 to 3.
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Apr 2017, 02:06, edited 1 time in total.
Renamed the topic.
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Re: Each person in a room attends exactly one of the three colleges A, B, [#permalink]

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New post 22 Apr 2017, 21:01
LakerFan24 wrote:
Each person in a room attends exactly one of the three colleges A, B, and C. What is the probability that a person selected at random from the people in the room attends college B?

(1) The number of people in the room attending college B is 20 less than the sum of the numbers of people in the room attending colleges A and C.

(2) The ratio of the number people in the room attending college B to the sum of the numbers of people in the room attending colleges A and C is 2 to 3.




Using statement one-----> We get next to nothing as the value of numerator and denominator can go on increasing.For the same difference Between numerator and denominator the ratio increases with increase in value. 2/5<3/6<4/7 and so on...So insufficient.

Statement two Gives B/(A+B) = 2/3

----------------->B/(A+B+C) = 2/5
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Re: Each person in a room attends exactly one of the three colleges A, B, [#permalink]

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New post 22 Apr 2017, 21:07
To calculate probability we need to know how many attend B and how many students are there.
A. Not sufficient as we don't know how many students are there
B. We know students who attend B are 2 of (a+b+c) i.e. 2+3=5 so 2/5. Sufficient

Answer B

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Re: Each person in a room attends exactly one of the three colleges A, B, [#permalink]

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New post 23 May 2017, 01:54
Is this really a 700 level problem? It seems very straightforward.
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Re: Each person in a room attends exactly one of the three colleges A, B, [#permalink]

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New post 23 May 2017, 01:56
Re: Each person in a room attends exactly one of the three colleges A, B,   [#permalink] 23 May 2017, 01:56
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Each person in a room attends exactly one of the three colleges A, B,

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