Question: Simulate the probability of obtaining at least one match in the problem of coincidences (see Exercise 4.54). Data from Exercise 4.54. In the original matching

Simulate the probability of obtaining at least one match in the problem of coincidences (see Exercise 4.54).

Data from Exercise 4.54.

In the original matching problem, Montmort asked for the probability of at least one match. Find this probability and show that for large n, the probability of a match is about 1 − e⁻¹ = 0.632. Use inclusion–exclusion.

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