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14 Aug 2019, 01:06
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (00:43) correct
22%
(00:51)
wrong
based on 138
sessions
History
Date
Time
Result
Not Attempted Yet
At a city council meeting, one attendee is to be selected at random to be a tiebreaker. What is the probability that the person chosen is retired?
(1) One-third of the attendees are retired.
(2) Twenty-four of the attendees are not retired.
(1) One-third of the attendees are retired.
(2) Twenty-four of the attendees are not retired.
14 Aug 2019, 03:56
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Statement1:
Let's say that the number of attendees is x
--> one third of attendees should be \(\frac{1}{3}\)*x -retired
The probability that the person chosen is retired is (\(\frac{1}{3}\))*x/x=\(\frac{1}{3}\)
Sufficient
Statement2:
Let's say that the number of attendees is x
--> If Twenty-four of the attendees are not retired, (x-24) are retired.
The probability that the person chosen is retired is \(\frac{(x-24)}{x}\)
No info about what x is.
Insufficient
The answer is A.
Let's say that the number of attendees is x
--> one third of attendees should be \(\frac{1}{3}\)*x -retired
The probability that the person chosen is retired is (\(\frac{1}{3}\))*x/x=\(\frac{1}{3}\)
Sufficient
Statement2:
Let's say that the number of attendees is x
--> If Twenty-four of the attendees are not retired, (x-24) are retired.
The probability that the person chosen is retired is \(\frac{(x-24)}{x}\)
No info about what x is.
Insufficient
The answer is A.
10 Sep 2019, 00:47
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Bunuel
Official Explanation
This question appears to contain extraneous details; all we care about is the odds that a random person in a group is retired, and for that all we need to know is the fraction or percentage of retired people in the group. On to the data statements, separately. Statement (1) gives us just that, just what we are looking for. Sufficient. Statement (2) does not give us the fraction or percentage of retirees. It gives us the number of non-retirees. If we had the number of people total, we would be able to infer the fraction of non-retirees and hence the fraction of retirees; but we don't have the total number of people. Ergo Statement (2) is insufficient.
The correct answer is (A).
