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Probability of selecting a car with both A and Power window
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18 Sep 2019, 13:40
18 Sep 2019, 13:40
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Question Stats:
41% (01:41) correct
58% (01:35) wrong based on 236 sessions
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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.
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Re: Probability of selecting a car with both A and Power window
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20 Sep 2019, 05:40
20 Sep 2019, 05:40
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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
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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
1
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?
