As a "realistic" concrete example suppose we have a particle sitting around waiting to decay, and the particle is moving in a circle. The time of decay is a exponentially distributed, and the location of the particle when it decays (given that the decay time is sufficiently long compared to time it takes to move around the circle) is uniformly distributed. The random variable that we are interested in is the place on the circle where the particle decays. Ok, now we wait and after 5.39874627624287... minutes it decays at some point,

*x* in space. It turns out the probability that the particle decaying in that spot is 0. If

*C* is the circumference of the circle, the probability is given by

In other words, we just witnessed an event with probability 0!!!!!