Probability is central to diverse applications, including a) tomography, b) financial modelling, and c) physics.

(a) In X-ray and functional MRI, probability enters through Fourier transforms and a new use of wavelets allows space-time resolution trade-off.

(b) In finance, a reasonable model of hiring and firing using Brownian motion shows that downsizing is part of the optimal policy for a firm.

(c) In "probabilistic" mechanics, new models allow phase transition and other phenomena of macro-micro type to be studied. E.g., let each point of a Poisson pattern on the line be a seed and let it grow at a uniform rate until it touches another seed. When growth stops the chance that the origin is not covered by a seed is (non-trivially) e-1. Try it!