$A$ solution is $0.1 \ M$ in $Cl^{-}$ and $0.001 \ M$ in $CrO_{4}^{2-}$. Solid $AgNO_{3}$ is gradually added to it. Assuming that the addition does not change in volume and $K_{sp}(AgCl) = 1.7 \times 10^{-10} \ M^{2}$ and $K_{sp}(Ag_{2}CrO_{4}) = 1.9 \times 10^{-12} \ M^{3}$. Select the correct statement from the following:

• A
  $AgCl$ will precipitate first as the amount of $Ag^{+}$ needed to precipitate is low.
• B
  $AgCl$ precipitates first because its $K_{sp}$ is high.
• C
  $Ag_{2}CrO_{4}$ precipitates first because the amount of $Ag^{+}$ needed is low.
• D
  $Ag_{2}CrO_{4}$ precipitates first as its $K_{sp}$ is low.