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.
Probability of selecting a car with both A and Power window
[#permalink]
18 Sep 2019, 13:40
18 Sep 2019, 13:40
3
1
Expert Reply
20
Bookmarks
00:00
Question Stats:
39% (01:39) correct
60% (01:35) wrong based on 189 sessions
Hide Show timer Statistics
In a lot of CMW cars, \(\frac{1}{4}\) of the cars have AC and \(\frac{3}{5}\) of the cars have power windows.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Probability of selecting a car with both AC and Power window |
\(\frac{2}{9}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Probability of selecting a car with both A and Power window
[#permalink]
20 Sep 2019, 05:40
20 Sep 2019, 05:40
5
5
Bookmarks
Carcass wrote:
In a lot of CMW cars, \(\frac{1}{4}\) of the cars have AC and \(\frac{3}{5}\) of the cars have power windows.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
OA is not provided
Quantity A |
Quantity B |
Probability of selecting a car with both A and Power window |
\(\frac{2}{9}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
OA is not provided
KEY CONCEPT: It could be the case that there are no cars with BOTH AC and Power Windows, or it could be the case that some cars have BOTH AC and Power Windows.
Let's examine two possible cases
case i: There are 20 cars. 5 have BOTH features, 7 have power windows only, and 8 have neither feature.
We get:
Quantity A: 5/20 = 1/4
Quantity B: 2/9
In this case, Quantity A is greater
case ii: There are 20 cars. 5 have AC only, 12 have power windows only, and 3 have neither feature.
We get:
Quantity A: 0/20
Quantity B: 2/9
In this case, Quantity B is greater
Answer: D
RELATED VIDEO FROM OUR COURSE
General Discussion
Re: Probability of selecting a car with both A and Power window
[#permalink]
19 Sep 2019, 01:16
19 Sep 2019, 01:16
Is the answer B?
Considering P(AC and Power window) = (1/4) * (3/5) = 3/20
and 3/20 < 2/9 so B
or is it D, since it is not mentioned whether the events are independent or mutually exclusive?
Considering P(AC and Power window) = (1/4) * (3/5) = 3/20
and 3/20 < 2/9 so B
or is it D, since it is not mentioned whether the events are independent or mutually exclusive?
