Quantum Uncertainty As The End Of Classical Probability Theory

Conventional Probability Theory has no basis in reality. That is what the cosmologists Albrecht and Philipps say in their research paper "Origin of probabilities and their application to the multiverse" (http://arxiv.org/abs/1212.0953). 

We argue using simple models that all successful practical uses of probabilities originate in quantum fluctuations in the microscopic physical world around us, often propagated to macroscopic scales.

Actually all problems in probability are about quantum mechanics. So even the outcome of a coin toss is the result of QM since the Uncertainty Principle can be scaled to everyday objects. In the case of a coin toss, the quantum uncertainty in the position of neurotransmitter molecules in the nervous system of a coin flipper might translate into an uncertainty in the number of times a coin turns in the air before being caught, ultimately determining whether it is a head or a tail. They showed that the calculations come up with the same numbers as conventional probability theory does.