Answer :
Final answer:
This response explains how to calculate the probability of selecting a committee with two grade 12 students, as well as determining the expected number of grade 12 students on the committee.
Explanation:
A) To calculate the probability:
- Calculate the total number of ways to select a committee of 4 from 4 teachers and 6 students: 10 choose 4.
- Calculate the number of ways to have 2 grade 12 students and 2 others: 6 choose 2 * 4 choose 2.
- Divide the second result by the first to get the probability.
B) The expected number of grade 12 students on the committee can be found by multiplying the probability of having a grade 12 student by the total number of members.
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