A manager decides to distribute $\mathrm{Rs}.20000$ between two employees $X$ and $Y$. He knows $X$ deserves more than $Y$, but does not know how much more. So, he decides to arbitrarily break $\mathrm{Rs}.20000$ in to two parts and gives $X$ the bigger part. Then, the chance that $X$ gets twice as much as $Y$ or more is

• A

  $\frac{2}{5}$
• B

  $\frac{1}{2}$
• C

  $\frac{1}{3}$
• Correct answer
  D

  $\frac{2}{3}$

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