The reactions that produce a precipitate are:
- \(\mathrm{BaCl}_{2}(aq) + \mathrm{H}_{2}\mathrm{SO}_{4}(aq) \rightarrow \mathrm{BaSO}_{4}(s) + 2\mathrm{HCl}(aq)\)
- \(\mathrm{KOH}(aq) + \mathrm{Pb(CH}_{3}\mathrm{CO}_{2})_{2}(aq) \rightarrow \mathrm{KCH}_{3}\mathrm{CO}_{2}(aq) + \mathrm{Pb(OH)}_{2}(s)\)
\[
\boxed{\text{Reactions 1 and 5 produce a precipitate.}}
\]