Answer :
YES, The precipitation reaction will occur.
Explanation : When we mix the aqueous solutions of Lead chloride and Ammonium sulfide a reaction will occur which is stated below :
![PbCl_(2) +(NH_(4)) _(2) S ----\ \textgreater \ PbS + 2[ (NH_(4))Cl]](https://img.qammunity.org/2019/formulas/chemistry/college/vvfwx6ewq97ve61c4q0w0w9shqmi1q59tw.png)
The major product that is formed is Lead sulfate which is black in colour.
Once the reaction is complete one can observe a black precipitate getting obtained.