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29 Sep 2009, 10:03
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Q1) Each of 25 balls is either red, blue, or white and has a number from 1 to 10. If one ball is selected at random, what is the probability that the ball is either white or has an even number on it?
(1) Probability that the ball is both white and has an even number = 0
(2) Probability that the ball is white minus probability that the ball has an even number = 0.2
(1) Probability that the ball is both white and has an even number = 0
(2) Probability that the ball is white minus probability that the ball has an even number = 0.2
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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29 Sep 2009, 13:27
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We are looking for the probability that a ball is either white or even, P (W or E).
P (W or E) = P(W) + P(E) - P(W and E)
Statement 1:Probability that the ball is both white and has an even number = 0
This statement conveys the fact that P(W and E) = 0. We're still left with: P (W or E) = P(W) + P(E). Therefore Statement 1 is insufficient.
Statement 2: Probability that the ball is white minus probability that the ball has an even number = 0.2
This statement conveys that P(W) - P(E) = 0.2. Since we don't have any other piece of information, this is clearly insufficient as well.
Looking at the Statements Together .
We have two pieces of information:
1) P(W or E) = P(W) + P(E)
2) P(W) - P(E) = 0.2
So P(W) = P(E) + 0.2 and as a result P(W or E) = 2P(E) + 0.2. The probably is we still don't know the probability of the ball being drawn being even. Therefore this is still insufficient.
Therefore the correct answer is E.
P (W or E) = P(W) + P(E) - P(W and E)
Statement 1:Probability that the ball is both white and has an even number = 0
This statement conveys the fact that P(W and E) = 0. We're still left with: P (W or E) = P(W) + P(E). Therefore Statement 1 is insufficient.
Statement 2: Probability that the ball is white minus probability that the ball has an even number = 0.2
This statement conveys that P(W) - P(E) = 0.2. Since we don't have any other piece of information, this is clearly insufficient as well.
Looking at the Statements Together .
We have two pieces of information:
1) P(W or E) = P(W) + P(E)
2) P(W) - P(E) = 0.2
So P(W) = P(E) + 0.2 and as a result P(W or E) = 2P(E) + 0.2. The probably is we still don't know the probability of the ball being drawn being even. Therefore this is still insufficient.
Therefore the correct answer is E.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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