A theory by Iain McGilchrist, if I can simplify it correctly is that the brains are split into two hemispheres as an optimization. The right one is specialized on not being eaten and has a wider/higher level understanding of situations. The other hemisphere is focused on eating and that requires a more narrow focus.
Think locating prey versus looking around for predators.
The use of tools and anything related to getting something seems to fall within what the left brain does best and that would explain why most are right handed. I do believe he discusses left handed people in his book, but I have not read that part.
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