In a school there are 3 sections A, B and C. Section A contains 20 girls and 30 boys, section B contains 40 girls and 20 boys and section C contains 10 girls and 30 boys. The probabilities of selecting the section $\mathrm{A}, \mathrm{B}$ and C are $0.2,0.3$ and 0.5 respectivley. If a student selected at random from the school is a girl, then the probability that she belongs to section A is

• A

  $\frac{121}{200}$
• B

  $\frac{16}{121}$
• C

  $\frac{14}{81}$
• Correct answer
  D

  $\frac{16}{81}$

Hence, the correct answer is option: 'D'.