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.

OA E

Source: Official Guide

The question asks for the unique value of n and not a relative value. Looking at the statements, we see that the values of probabilities are given, suggesting that we cannot get the unique value of n. Let's solve this questions.

Let's take each statement one by one.

(1) If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3.

=> f = 2n/3. Can't get the unique value of n. 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. Can't get the unique value of n. Insufficient.

(1) and (2) together

Even after combining both statements, we can't get the unique value of n. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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