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which returns n=88 as the smallest population size for which P(W=0|n=88)=0.4889349, while P(W=0|n=87)=0.5005451. A simulation based on 10⁶ draws confirms this boundary value, P(W=0|n=88)≈0.4890849 and P(W=0|n=87)≈0.5006471.

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