Since n is very large and p is small, we can use the Poisson approximation to the binomial with

λ = E(x) = np = 1000 × .01 = 10.

P(X = k) = [{e^{-10} (10)^{k}} / {k!}]

P(X = 10) = [{e^{-10} (10)^{10}} / {10!}].

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