I'm a leftie by nature but each hand has its own specialties in dexterity - forks, scissors, and can openers with the right hand, drawing and writing with the left. Very handy when it comes to eating and writing at the same time.
Drawing with the opposite hand though can yield some interesting results. Looser lines and explorations that, while undisciplined like the left's, still carry that spark of drawing ability. Fun times!