To balance this redox reaction, first break it down into the half-reactions. The oxidation half-reaction involves \( \text{I}_2 \) being reduced to \( \text{HI} \), and the reduction half-reaction involves \( \text{NO} \) being oxidized to \( \text{HNO}_3 \).
Oxidation half-reaction:
\[
\text{I}_2 + 2\text{e}^- \rightarrow 2\text{I}^-
\]
Reduction half-reaction:
\[
\text{NO} + 2\text{H}_2\text{O} \rightarrow \text{HNO}_3 + 2\text{e}^-
\]
After balancing the atoms and charges, we find the coefficients: \( a = 3 \), \( b = 2 \), \( c = 2 \), and \( d = 6 \).