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In a chore, a girl is to be selected at random to sing. What is the probability that a girl will read?
(1) Two-fifth of the children in the chorus are boys
(2) There are 9 girls in the chorus
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Dear
GMATwizApp,
I'm happy to respond.
This is an atrocious question. It has several major problems.
1) It appears to have been written by someone who doesn't know English.
2) The language is not precise: in fact, it is wildly ambiguous
3) The question is self-contradictory
4) The calculation is ridiculously easy, bordering on the easiest that the GMAT would ask.
A group of people singing is called a "
choir," not a "
chore." Those words are pronounced very differently.
It's very odd that in a choir only one person would sing. Presumably, one person is being chosen for a solo part, with the others singing backup.
The first sentence says explicitly that a girl will be chosen, and then the second sentence, the question, asks us the probability that a girl is chosen. Technically, the answer is 1. We know with certainty that a girl will be chosen from the first sentence. I assume that the first sentence wasn't intended to provide the answer to the second question. The GMAT DS format requires that the prompt question cannot be answered from information in the prompt.
Finally, there is the ambiguity between "
sing" and "
read"--what do these actions mean with respect to a choir? Do they mean the same thing? The term "
read" is an especially unclear term to use in this context.
I infer that what the question was trying to ask is: if one member is chosen at random as a soloist, what's the probability that this soloist is female?
Given that clarified question, the calculation is ridiculously easy. Of course #1 is sufficient. Of course #2 is not sufficient. This will not be challenging to 90% of GMAT Test takers.
By contrast, here are some challenging probability questions:
GMAT Data Sufficiency Practice Questions on ProbabilityDoes all this make sense?
Mike