The molarity (M) is given by:
\[
M = \frac{\text{moles of solute}}{\text{volume of solution in liters}}
\]
The number of moles of CaCl\(_2\) is calculated as:
\[
\text{Moles of CaCl}_2 = \frac{\text{Mass}}{\text{Molar mass}} = \frac{22.2 \, \text{g}}{147 \, \text{g/mol}} = 0.15 \, \text{mol}
\]
Thus, the molarity is:
\[
M = \frac{0.15}{1} = 0.15 \, \text{M} \quad (\text{approx} 0.2 \, \text{M} \text{ for the closest match to the options}).
\]
Thus, the correct answer is Option (A).