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Computation of the probability distribution of electrons at the output of a photomultiplier is carried out by numerical integration along a contour in the complex plane, a method that is efficient even when the number of electrons is large. When the overall gain of the photomultiplier is fixed and the number of dynodes is increased, the single‐stage secondary distribution being assumed the same for each, the output distribution approaches an exponential form for a broad class of single‐stage distributions.