GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Each Employee at a certain bank is either a clerk or an agen
[#permalink]
07 May 2019, 02:14
07 May 2019, 02:14
1
Expert Reply
3
Bookmarks
00:00
Question Stats:
42% (02:08) correct
57% (02:01) wrong based on 47 sessions
Hide Show timer Statistics
Each Employee at a certain bank is either a clerk or an agent or both. Of every three agents, one is also a clerk. Of every two clerks, one is also an agent. What is the probability that an employee randomly selected from the bank is both an agent and a clerk?
(A) \(\frac{1}{2}\)
(B) \(\frac{1}{3}\)
(C) \(\frac{1}{4}\)
(D) \(\frac{1}{5}\)
(E) \(\frac{2}{5}\)
(A) \(\frac{1}{2}\)
(B) \(\frac{1}{3}\)
(C) \(\frac{1}{4}\)
(D) \(\frac{1}{5}\)
(E) \(\frac{2}{5}\)
Re: Each Employee at a certain bank is either a clerk or an agen
[#permalink]
08 Jun 2019, 20:54
08 Jun 2019, 20:54
1
Explanation please
Re: Each Employee at a certain bank is either a clerk or an agen
[#permalink]
09 Jun 2019, 02:06
09 Jun 2019, 02:06
Expert Reply
1
Bookmarks
This is tough. Is a mix of overlapping set and probability. However, once you have found the OS the rest is easy.
In my opinion, attacking the question using number is cumbersome.
Now, c stands for Clerks. a stands for Agents and x stands for both.
Total Clerks: c+x
Total Agents: a+x
Total: c+a+x
Divide in small chunks the question.
Of every three agents, one is also a clerk.
means that an x employee which is part of both is over the agents category only \(\frac{x}{a+x}= \frac{1}{3}\) ; a = 2x
Of every two clerks, one is also an agent.
\(\frac{x}{c+x} = \frac{1}{2}\) ; c=x
The probability is
\(\frac{x}{c+a+x} = \frac{x}{x+2x+x} = \frac{x}{4x} = \frac{1}{4}\)
Hope this helps
In my opinion, attacking the question using number is cumbersome.
Now, c stands for Clerks. a stands for Agents and x stands for both.
Total Clerks: c+x
Total Agents: a+x
Total: c+a+x
Divide in small chunks the question.
Of every three agents, one is also a clerk.
means that an x employee which is part of both is over the agents category only \(\frac{x}{a+x}= \frac{1}{3}\) ; a = 2x
Of every two clerks, one is also an agent.
\(\frac{x}{c+x} = \frac{1}{2}\) ; c=x
The probability is
\(\frac{x}{c+a+x} = \frac{x}{x+2x+x} = \frac{x}{4x} = \frac{1}{4}\)
Hope this helps
