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 $\frac { 4 } { 15 }$ ? 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. A none of them B I only C II only D III only E I and II only F I and III only G II and III only H I, II and III
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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 $\frac { 4 } { 15 }$ ?
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.
A none of them\\
B I only\\
C II only\\
D III only\\
E I and II only\\
F I and III only\\
G II and III only\\
H I, II and III