Question

Out of 8 outstanding students of a school, in which there are 3 boys and 5 girls, a team of 4 students is to be selected for a quiz competition. Find the probability that 2 boys and 2 girls are selected.

Answer 1

Total outstanding students = 8
Number of students to be selected = 4
Number of boys = 3
Number of girls = 5
Out of 8 students, 4 students are to be selected in which 2 should be boys and 2 girls.
Ways of selecting 2 boys and 2 girls = ³C₂ × ⁵C₂

P(Selecting 4 students are to be selected in which 2 should be boys and 2 girls) = `(""^3"C"_2xx""^5"C"_2)/(""^8"C"_4) = 3/7`