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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

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Coin Toss Probabilities like Penney's Game

Generate a binary number, using coin toss. Until you receive a predefined terminating sequence. What is the probability that the number is a multiple of some $k$. For example, the terminating sequenc …
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