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Mathematics, 25.03.2021 18:40 GlitterGayness

Strong earthquakes occur according to a Poisson process in a metropolitan area with a mean rate of once in 50 years. There are three bridges in the metropolitan area. When a strong earthquake occurs, there is a probability of 0.3 that a given bridge will collapse. Assume the events of collapse between bridges during a strong earthquake are statistically independent; also, the events of bridge collapse between earthquakes are also statistically independent. Required:
What is the probability of "no bridge collapse from strong earthquakes" during the next 20 years?

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