Q1Single correct3 Marks10 May 2026

At a school function, it is noticed that 9% of the students are not wearing polished shoes and 14% are not wearing school ties. These two violations are independent. If a teacher selects 5 students at random, what is the probability that exactly three of them will be punished for at least one violation?

A

⋠(5, 3) * (0.23)^3 * (0.77)^2

B

⋠(5, 3) * (0.2174)^3 * (0.7826)^2

C

⋠(5, 3) * (0.09)^3 * (0.91)^2 + ⋠(5, 3) * (0.14)^3 * (0.86)^2

D

⋠(5, 3) * (0.0126)^3 * (0.9874)^2