You don't have to be left handed, but it helps! 
Just joking, hope you don't mind my pulling yer leg!
Seriously, LH drills will often loosen and back out stuck or broken screws without any other brutish attention. When I bought my few, about 5 sizes in total, they only cost about $8.00 total from an industrial tool supplier . They did not cost any more than normal twist drills at that time. I kept them in a plastic container separate from other drills and marked LH. Over the years they have simplified the removal of LOTS of difficult stuck fasteners with no damage to the items they were in, so in my opinion, well worth having, and good value for money too.