Classical analogues of quantum paradoxes

In this note we discuss a few simple classical (as opposed to quantum) prediction problems. The thrust of this work is to examine the predictive role of probability theory and we shall see that some situations are not really paradoxical. In particular we want to separate the role of probability as a predictive tool from one of the basic sources of strangeness in quantum mechanics, namely the principle of superposition of states. For that we shall re-examine some of the quantum paradoxes, recast as a problem about making a prediction about the result of a random experiment in classical physics when some information is known