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PtichkaEL [24]
3 years ago
9

Photos and videos have become an important part of the online social experience, with more than half of Internet users posting p

hotos or videos online that they have taken themselves. Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves. A research center finds that P(A) = 0.47, P(B) = 0.28,and P(A or B) = 0.52.
Required:
What is the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves?
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

0.82

Step-by-step explanation:

Given:

<em>A</em> be the event that an Internet user posts photos taken by themselves.

<em>B</em> be the event that an Internet user posts photos taken by themselves.

P(A) = 0.47

P(A) = 0.28

P(A or B) = P(A\cup B) = 0.52

To find:

Conditional probability that an Internet user posts photos given that they post videos.

OR

P(A/B) = ?

Solution:

<em>Formula </em>to be used to find the required conditional probability:

P(A/B) = \dfrac{P(A \cap B)}{P(B)}

For this, P(A \cap B) is required.

<em>Formula</em>

P(A \cup B) = P(A) + P(B) - P(A \cap B)

0.52=0.47+0.28-P(A\cap B)\\\Rightarrow P(A\cap B)=0.23

Now, the required conditional probability is:

P(A/B) = \dfrac{P(A \cap B)}{P(B)}\\\Rightarrow P(A/B) = \dfrac{0.23}{0.28}\\\Rightarrow \bold{P(A/B)} = 0.82}

So, the answer is <em>0.82</em>.

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