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# For a certain probability experiment, the probability that

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Joined: 19 Jun 2018
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For a certain probability experiment, the probability that [#permalink]  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
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Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Re: For a certain probability experiment, the probability that [#permalink]  20 Jul 2018, 23:13
Expert's post
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

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)=$$P(F) \times P(G)=\frac{1}{4} \times \frac{3}{5}=\frac{3}{20}$$.
_________________

Sandy
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Re: For a certain probability experiment, the probability that   [#permalink] 20 Jul 2018, 23:13
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