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Wildfires occur in a forest according to a Poisson process with intensity . Suppose that every time a wildfire occurs the Wildlife Reserve will be

Wildfires occur in a forest according to a Poisson process with intensity . Suppose that every time a wildfire occurs the Wildlife Reserve will be damaged with probability p > 0 independently of all else. Write the expression for the chance that the Wildlife Reserve will be damaged within the next t units of time.

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