Step 1: Understanding the Concept
Strong electrolytes dissociate completely in aqueous solution, while weak electrolytes ionise only slightly.
Step 2: Compare the options
\(\text{CaCl}_{2}\) is a soluble ionic salt that dissociates fully into \(\text{Ca}^{2+}\) and \(2\text{Cl}^{-}\).
Step 3: Others
\(\text{NH}_{3}\) is a weak base and \(\text{HCN}\) is a weak acid. \(\text{Ca(OH)}_{2}\) is only sparingly soluble, so it gives few ions.
Final Answer:
Calcium chloride is the strong electrolyte.
\[ \boxed{\text{(A) }\text{CaCl}_{2}} \]