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For a certain probability experiment, the probability that
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20 Jul 2018, 21:18
20 Jul 2018, 21:18
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For a certain probability experiment, the probability that event F will occur is 1/4 and the probability that even G will occur is 3/5. Which of the following values could be the probability that the event F∩G (both) will occur?
A) 1/5
B) 1/4
C) 3/5
D) 17/20
A) 1/5
B) 1/4
C) 3/5
D) 17/20
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Re: For a certain probability experiment, the probability that
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22 Apr 2020, 07:21
22 Apr 2020, 07:21
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ssp4all wrote:
For a certain probability experiment, the probability that event F will occur is 1/4 and the probability that even G will occur is 3/5. Which of the following values could be the probability that the event F∩G (both) will occur?
A) 1/5
B) 1/4
C) 3/5
D) 17/20
A) 1/5
B) 1/4
C) 3/5
D) 17/20
We can also solve this question using the Double Matrix method
From the given information we can set up our matrix as follows:
aside: the sum of all possible events must add to 1
Our goal will be to find the RANGE of possible values to go in the box denoted by the red star, since it represents the probability of both events happening.
Let's start by minimizing the value in the top left box.
The minimum possible value here is 0
When we complete the rest of matrix, we get the following:
So 0 is the minimum possible probability of BOTH events occurring.
Now let's maximize the value in the top left box
Since about some of the two probabilities in the top row must add to 0.25, the maximum value that can go in the top left box is 0.25
When we complete the rest of the matrix, we get
So 0.25 is the maximum possible probability of BOTH events occurring.
We can now conclude that the probability of both events occurring can range from 0 to 0.25
Answer choices A and B fall within that range
Answer: A, B
To learn more about the Double Matrix Method, watch this video:
Then you can try solving these two questions:
- https://gre.myprepclub.com/forum/qotd-11-o ... -2660.html
- https://gre.myprepclub.com/forum/on-a-cert ... 13470.html
Cheers,
Brent
General Discussion
Re: For a certain probability experiment, the probability that
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20 Jul 2018, 23:13
20 Jul 2018, 23:13
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Expert Reply
ssp4all wrote:
For a certain probability experiment, the probability that event F will occur is 1/4 and the probability that even G will occur is 3/5. Which of the following values could be the probability that the event F∩G (both) will occur?
A-1/5
B-1/4
C-3/5
D-17/20
A-1/5
B-1/4
C-3/5
D-17/20
I am not exactly sure if this is the complete question. Single option correct questions have 5 options to choose from in the GRE.
Probability of event F= \(P(F)=\frac{1}{4}\)
Probability of event G= \(P(G)=\frac{3}{5}\)
Since nothing is mentioned if the events are independent or not we can write= P(F) and P(G)=\(P(F) \times P(G)=\frac{1}{4} \times \frac{3}{5}=\frac{3}{20}\).
