During a maths lesson in primary school in which we were flipping coins and doing other prob-related stuff, my coin landed on its edge. The girl I was working with and I just sat there and gawped before telling our teacher, who didn't believe us. It was seen by one other kid, and for the rest of the lesson and the lunch break afterwards the three of us tried to recreate it.
Of course it all gets simplified, otherwise prob textbooks wouldn't talk about P(head) = P(tails) = 0.5. This is why I prefer something like algebra (in the main): simplifications make me nervous.