Very random poll indeed, but Arthur would win, without a doubt. A gunslinger with six shooters, rifles, and double-barreled shotguns would beat an archer anyday.
Robin Hood hides in a tree and waits for Arthur to come along so he can shoot him, Arthur is struck in his shoulder, then whips around and using dead-eye Vietnam's the fuck out of the tree with a fire bottle and Robin Hood gets roasted alive.