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olga2289 [7]
3 years ago
13

P(A)=25,P(B|A)=920,P(A∩B)=?

Mathematics
1 answer:
larisa [96]3 years ago
4 0
Hi! Let me help you!
This problem is a Venn Diagram question. It is much easier to answer this question with the visual it usually comes with. However, we can employ logic to give this one a smart and logical answer.

What we have so far:
P(A) =  25. This means that the shaded area of A is equal to 25.
P(B/A) = 920. This means that area A subtracted 25 to the value of area B which resulted to 920.
P(B) = 945. How did I arrive with 945? Simple, I just added 25 to 920. Go and be a smart lad and find why I did that.

Solution:
Solving P(A∩B) is quite challenging because like I said, a visual is needed for us to give it a pefect answer. Employing logic and using what we have so far:

If P(A∩B) means A and B intersection, we can assume that it is simply as A + B. 

If that is the case, then we can simply pull out our P(A) and P(B), 25 and 945 respectively and add them:

P(A) + P(B) = P(A∩B)
P(A∩B) =  25 + 945
P(A∩B) = 970 <----- What we are looking for

Therefore, P(A∩B) = 970!
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<h3>What is probability ?</h3>

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

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Given information:

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