Answer: The correct answer is yes; the AgOH will precipitate.
Step-by-step explanation:
Double-displacement reactions are defined as the reactions in which exchange of ions takes place. The chemical equation representing this reaction follows:

For the given chemical equation:

By Stoichiometry of the reaction:
1 mole of silver nitrate reacts with 1 mole of potassium hydroxide to produce 1 mole of potassium nitrate and 1 mole of brown colored solid named as silver hydroxide.
Hence, the correct answer is yes; the AgOH will precipitate.