How can randomness possibly exist?

[garion888]

First of all, electromagnetism is 99% understood by physicists. Second of all, i'm having a little trouble

You are proposing that there is a disconnect between the mathematical model of physics and "reality". Everyone who is trained in physics understands this disconnect. They are also trained to ignore it. As long as a theory is able to predict experimental results accurately, the theory may as well be taken as reality. When "the unexplainable" comes along, this disconnect obviously rears its head(ie, we predicted something that didn't happen, or we are unable to predict something that does happen). Then the theory is modified to incorporate an explanation.

It is valuable to note the point that there IS a disconnect between a scientific theory and reality. However, it is also important to note that this disconnect has very little impact on the any applications of the theory as long as the theory is able to predict experimental results accurately.