For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate can solve any problem is $\frac{4}{5},$ then the probability that he is unable to solve less than two problems is

• A

  $\frac{201}{5}{\left(\frac{1}{5}\right)}^{49}$
• B

  $\frac{164}{25}{\left(\frac{1}{5}\right)}^{48}$
• C

  $\frac{316}{25}{\left(\frac{4}{5}\right)}^{48}$
• Correct answer
  D

  $\frac{54}{5}{\left(\frac{4}{5}\right)}^{49}$

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