First, write the chemical equation that represents the chemical reation to state the products:
AgNO3 (aq)+ NaCl (aq) → AgCl (s)+ NaNO3 (aq)
The terms (aq) are used to indicate tha the compund is in aqueous solution, whle (s) is used to indicate a solid compound.
You can use the solubility rules or a table of solubilities to check solubilities of Ag Cl and NaNO3 in water. I used a table of solubilities. If you do it you will find that NaNO3 is soluble in water and AgCl is insoluble. Then AgCl will form a precipitate.
Then, the answer is yes, precipitation of AgCl would occur.
