The current will flow more easily through a thick wire than through a thin wire of the same material when connected to the same source.
This is due to the fact that the resistance of a wire is inversely proportional to the square of its diameter.
A thick wire has a greater diameter and hence lesser resistance making the current flow through it more easily.
On the other hand, a thin wire has smaller diameter and hence greater resistance to the flow of current through it.
Final answer:-
The current will flow more easily through the thick wire than the thin wire.
It is because the resistance of a conductor is inversely proportional to its area of cross-section.
If the thicker the wire, the less is resistance and hence more easily the current flows.