This perspective always fascinates me. I'm not trying to be negative, but am genuinely curious.

If you're truly split like that, why is any ceremony necessary? Just pick one. Does every choice have to be explained? Are you doing this to amuse yourself?

If you don't delegate to a source of randomness, do you feel guilty or ruminate about why you were un/successful? Are you afraid of your own thoughts misleading you once the outcome is clear?