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In response to an attack of 10 missiles, 500 antiballistic missiles are launched. The missile targets...

In response to an attack of 10 missiles, 500 antiballistic missiles are launched. The missile targets of the antiballistic missiles are independent, and each antiballistic missile is equally likely to go towards any of the target missiles. If each antiballistic missile independently hits its target with probability 0.05, use the Poisson limit theorem to approximate the probability that all missiles are hit.

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