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2025-10-19T20:40:31.188235 image/svg+xml Matplotlib v3.10.6, https://matplotlib.org/ 0 20 40 60 80 100 N u m b e r o f p e o p l e - n 0.0 0.2 0.4 0.6 0.8 1.0 Probability of a pair P r o b a b i l i t y : 1 − 3 6 5 ( 3 3 6 6 5 5 ! − ) ! n n A p p r o x i m a t i o n : 1 − e 2 − ⋅ 3 6 5 n 2