In a school there are `40 %` science students and the remaining `60 %` are arts students. It is known that `5 %` of the science students are girls and `10 %` of the arts students are girls. One student selected at random is a girl. What is the probability that the she is an arts student ?

Options

A. `1/3`
B. `3/4`
C. `1/5`
D. `3/5`

Answer

B

Explanation

Let there be 100 students.
So, there are 40 students of science and 60 students of arts.
`5%` of 40 = 2 science students (girls)
`10%` of 60 = 6 science students (girls)
Total girls students = 8
If a girl is chosed then
P(arts) `= 6/8 = 3/4`