To solve the problem of finding the probability that a student in 10th grade is not involved in afterschool activities, given the conditional relative frequency table, we follow these steps:
1. Understand the Table: The table provides the relative frequencies of students in different grades with respect to their involvement in after-school activities or not.
2. Identify the Relevant Data:
- The table indicates the proportion of 10th grade students involved in after-school activities and those not involved.
- Specifically, for students in 10th grade:
- The probability of being involved in after-school activities is [tex]\(0.43\)[/tex].
- The probability of not being involved in after-school activities is [tex]\(0.57\)[/tex].
3. Definition of Conditional Probability:
- Conditional probability is the probability of an event occurring given that another event has already occurred.
- Here, we need the conditional probability of a student not being involved in afterschool activities given that they are in the 10th grade.
4. Extract the Necessary Value: From the table:
- The row for 10th grade indicates that [tex]\(0.57\)[/tex] is the proportion of students who are not involved in after-school activities.
5. Answer the Question:
- Therefore, the probability that a student in the 10th grade is not involved in after-school activities is 0.57.
Hence, the correct answer to the question "Given that a student is in 10th grade, what is the probability that the student is also not involved in afterschool activities?" is:
[tex]\[ \boxed{0.57} \][/tex]
