Well I play nothing with either hand, but I'm confident that if I did, both hands would be equally incompetent.

I bat right handed, bowl and throw left handed, am completely left footed, write right handed (completely illegibly), shoot left eyed from my left shoulder, but left eyed and right handed with hand guns. As a cook I chop right handed (and cut myself frequently), stir and whisk right handed, though I can switch mid egg white, toss pancakes right handed, grind pepper and salt left handed.

Sorcha, I have known people who use a rifle left eyed from their right shoulder, you can only do it practically on a range, but the couple of people I've seen do it were exceptional shots. They were using bolt action rifles, which are a bugger to reload left handed.