{"name":"bayes","title":"Bayes' Theorem Calculator","category":"math","description":"Posterior probability P(H|E) from a prior, true-positive rate and false-positive rate.","price_usd":0.001,"input_schema":{"type":"object","properties":{"prior":{"type":"number","description":"Prior probability P(H), 0..1"},"sensitivity":{"type":"number","description":"True-positive rate P(E|H), 0..1"},"false_positive":{"type":"number","description":"False-positive rate P(E|not H), 0..1"}},"additionalProperties":false,"required":["prior","sensitivity","false_positive"]}}