Respuesta :
Using conditional probability, it is found that there is a 0.3349 = 33.49% probability that a student is a 9th grader, given that fishing is their favorite leisure activity.
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.
In this problem, we have that the probabilities are given as follows:
[tex]P(A) = 0.433, P(A \cap B) = 0.29 \times 0.50 = 0.145[/tex]
Hence the conditional probability is:
[tex]P(B|A) = \frac{0.145}{0.433} = 0.3349[/tex]
0.3349 = 33.49% probability that a student is a 9th grader, given that fishing is their favorite leisure activity.
More can be learned about conditional probability at https://brainly.com/question/14398287
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