For any collection of exchangeable events A1, A2, ⋯, Ak the Bonferroni inequalities are usually stated in the form max {N0, N2, ⋯, Nke } ≤ P{∪k i=1 Ai} ≤ ...
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An appealing, but invalid, derivation of the probability that at least one of n events occurs is justified, using a particular definition of subtraction of events. The probabilities that exactly m and ...
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