If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member,what is the probability that you will be on the committee?

• A
  $\binom{38}{3}$
• B
  $\binom{37}{2}$
• C
  $\frac{\binom{37}{2}}{\binom{38}{3}}$
• D
  $\frac{666}{8436}$