Question

In the group of 9 students, 3 are in Grade ten, 3 are in Grade eleven, and 3 are in Grade twelve. Determine the probability that 2 Grade ten students are chosen to be on a 2-member committee.

A. 2/9
B. 1/3
C. 1/6
D. 1/9

Answer 1

The probability of choosing 2 Grade ten students to be on a 2-member committee is 1/9.

Step-by-step explanation:

To determine the probability of choosing 2 Grade ten students to be on a 2-member committee, we need to consider the total number of ways we can select 2 students from the group of 9. The probability can be calculated as:

Probability = number of favorable outcomes / total number of outcomes

Number of favorable outcomes = choosing both Grade ten students = 1

Total number of outcomes = choosing any 2 students from the group of 9 = C(9, 2) = 36

Therefore, the probability is 1/36, which simplifies to 1/9 (D) as the answer.