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 she is an arts student?

Question

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 she is an arts student? (A) (1/3) (B) (3/4) (C) (1/5) (D) (3/5)

Tardigrade Admin · Accepted Answer

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 (a r t s) = \frac{6}{8} = \frac{3}{4}

Q. 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 she is an arts student?

$\frac{1}{3}$

$\frac{3}{4}$

$\frac{1}{5}$

$\frac{3}{5}$

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
$P (a r t s) = \frac{6}{8} = \frac{3}{4}$