A problem in Algebra is given to two students $A$ and $B$ whose chances of solving it are $\frac{2}{5}$ and $\frac{3}{4}$ respectively. The probability that the problem is solved if both of them try independently is

• Correct answer
  A

  $\frac{17}{20}$
• B

  $\frac{3}{20}$
• C

  $\frac{1}{2}$
• D

  $\frac{13}{20}$

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