The problem with this branch of mathematics is its application to places it doesn't belong.
Such as, what is the probability of a sting of coincidences happening?
What is the probability of life forming on this planet?
We see these as random event, when they are anything but.
And finally, the granddaddy of them all, the Schroedinger Experiment
Which was designed to be 50/50, except he failed completely by adding a living component and an emotional component. These make the outcome anything but 50/50.