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Structurally, Bayes' theorem asks you to first restrict attention to only those cases where the evidence $E$ has occurred. Then, among that filtered subgroup, it calculates what fraction also satisfies the hypothesis $H$.

Conditions: Evidence E has occurred (conditioning); Marginal probability $P(E) > 0$

Structurally, Bayes' theorem asks you to first restrict attention to only those cases where the evidence $E$ has occurred. Then, among that filtered subgroup, it calculates what fraction also satisfies the hypothesis $H$.

Conditions: Evidence E has occurred (conditioning); Marginal probability $P(E) > 0$