The probability of the given condition is 28/165.
Given that, there are four boys and eight girls in a class.
We need to find the probability of the given question.
<h3>What is probability?</h3>
The probability is defined as the chances of happening of any random event or the possibility of happening of any event is called the probability.
The teacher randomly selects three different students to answer questions.
The first is the student is a girl, the second student is a boy, and the third student is a girl.
The total number of students=12, the number of boys=4 and the number of girls=8.
Now,
Step 1: The first student is a girl=8/12
Step 2: The second student is a boy=4/11
Step 3: The third student is a girl=7/10
In the first step, you select one of 8 girls among 12 students.
In the second step, you select one of 4 boys among the remaining 11 students.
In the third step, you select one of the remaining 7 girls among the remaining 10 students.
Thus, probability=(8/12)×(4/11)×(7/10)=28/165
Therefore, the probability of the given condition is 28/165.
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