The first time I picked up a guitar I naturally held it left handed and I naturally picked out bass lines and started playing them, so bass it was for me. Tried right handed briefly but couldn't do it so stayed left handed. I do most things left handed.
But only yesterday, I scanned the www for available L/H basses and if you're not after a bottom of the range model or want something that doesn't look like a Fender you're stuffed, as usual.