14. In a year 10 Maths class, there are 30 students. Each student is either 15 or 16 years
old, and either left- or right-handed.
The ratio of right-handed students to left-handed students is 4 : 1, the ratio of 15 year
olds to 16 year olds is 1 : 2 and the ratio of left-handed 15 year olds to left-handed
16 year olds is 1 : 5.
If the names of the students in this class are placed in a hat and one is selected
at random, what is the probability that the student selected is 15 years old and
right-handed?
(A)1/30
(B) 1/6
(C) 3/10
(D)1/2
(E) 4/5