In a real estate office that employs n salespeople, f of them are females and x of the females are new employees. What is the value of n ?
(1) If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3.
(2) If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2.
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BTGmoderatorDC
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Jay@ManhattanReview
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To get the value of n, we need to know the value of f and m, where m is the number of male employees.BTGmoderatorDC wrote:In a real estate office that employs n salespeople, f of them are females and x of the females are new employees. What is the value of n ?
(1) If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3.
(2) If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2.
Let's take each statement one by one.
(1) If an employee were randomly selected from n employees, the probability of selecting a female would be 2/3.
=> f = 2n/3
We don't have any info about men. Insufficient.
(2) If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2.
=> x = f/2
We don't have any info about men and female. Insufficient.
(1) and (2) together
Even combining the two statements can't get us the value of n. Insufficient.
The correct answer: E
Hope this helps!
-Jay
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