If X is a random variable with probability distribution $\mathrm{P}(\mathrm{X}=k)=\frac{(2 k+3) \mathrm{c}}{3^k}$, $k=0,1,2, \ldots$, to $\infty$, then $\mathrm{P}(\mathrm{X}=3)=$

• A

  $\frac{1}{24}$
• Correct answer
  B

  $\frac{1}{18}$
• C

  $\frac{1}{6}$
• D

  $\frac{1}{3}$

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