KnowraBoole's inequalityLinked fromLinked fromThe 16 pages that link to Boole's inequality, each with the reason it gives.All 16Related 9Compared with 7Inclusion–exclusion principleCompared with: It keeps only the first positive term, unlike the exact alternating expansion.Markov's inequalityCompared with: It also gives an assumption-light upper bound, but combines event probabilities rather than expectations.Concentration inequalityCompared with: It combines existing tail estimates but does not derive concentration for one quantity.Bonferroni inequalitiesCompared with: It gives a broad upper bound, while Bonferroni truncations also supply lower bounds.Lovász local lemmaCompared with: Unlike the union bound, the lemma can certify avoidance when dependencies make a direct sum bound too weak.Kolmogorov's inequalityCompared with: Unlike a direct union bound, Kolmogorov's estimate avoids summing separate threshold probabilities.Law of Truly Large NumbersCompared with: It bounds the chance of any occurrence without requiring independent trials.