Question

Will current flow more easily though a think wire or thin wire of the same material, when connected to the same source? why?

Answer 1

The current will flow more easily when thicker wire is used. As resistance offered by the thick wire is less than that offered by the thin wire because R (resistance) = p (rho). l (length) / A (area of cross-section or thickness of wire). 

So as you can see if area of cross-section ( or thickness) of wire increases, resistance decreases and more current flows through it.