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What is the probability of a student being in the club given that they are in 9th grade?

What is the probability of a student being in the club given that they are in 9th-example-1

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Answer:

The probability of a student being in the club given that they are in 9th grade is approximately 33%. Answer: C.

Explanation:

The probability of a student being in the club given that they are in 9th grade can be calculated using the conditional probability formula:

P(Club membership | 9th grade) = P(Club membership and 9th grade) / P(9th grade)

From the table, we can see that there are 125 students in 9th grade, and 250 students who are members of a club. Of those 250 club members, 125 are in 9th grade. Therefore:

P(Club membership and 9th grade) = 125/1272

P(9th grade) = 125/697

Substituting these values into the formula:

P(Club membership | 9th grade) = (125/1272) / (125/697) = 0.329 = 33% (approximately)

Therefore, the probability of a student being in the club given that they are in 9th grade is approximately 33%. Answer: C.

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