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.