Respuesta :
Using conditional probability, it is found that the desired probability is given by: P(B|A) = 0.77.
What is Conditional Probability?
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
- P(B|A) is the probability of event B happening, given that A happened.
- [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
- P(A) is the probability of A happening.
Researching the problem on the internet, it is found that the Venn diagram gives these following probabilities:
[tex]P(B) = 0.53, P(A \cap B) = 0.41[/tex]
Hence:
[tex]P(B|A) = \frac{0.41}{0.53} = 0.77[/tex]
More can be learned about conditional probability at https://brainly.com/question/14398287
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