$\frac{2}{121}$

$\frac{2}{221}$

$\frac{1}{221}$

$\frac{1}{13}$

C. $\frac{1}{221}$

Total cases =${}^{52}c_{2}$

=$\frac{52\times 51}{2\times 1}=1326$

Total King cases =${}^{4}c_{2}$

=$\frac{4\times 3}{2\times 1}=6$

Probability ==$\frac{6}{1326}=\frac{1}{221}$