examday

/TMUA

A student is chosen at random from a class. Each student is equally likely to be chosen.

Which of the following conditions is/are necessary for the probability that the student wears glasses to equal $\dfrac4{15}$?

• I. Exactly 11 students in the class do not wear glasses.
• II. The number of students in the class is divisible by 3.
• III. The class contains 30 students, and 8 of them wear glasses.