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Bayesian Prior-to-Posterior Probability Theorem Calculator

Applies Bayes Theorem P(A|B) = P(B|A)*P(A) / P(B) for scientific hypothesis testing, medical diagnostics, and AI reasoning.

Call it (no API key)

GET https://api.agentdatahub.de/api/v1/call/bayesian-probability-updater?prior_prob=0.01&sensitivity_true_positive=0.99&false_positive_rate=0.05&compact=1

Full metadata: without compact=1 · Markdown: format=llm · Only some fields: add &fields=a,b.c · MCP: tool call_api with {"apiId":"bayesian-probability-updater"}

Parameters

prior_probPrior probability P(H) (0 to 1) (default: 0.01)
sensitivity_true_positiveP(E|H) Sensitivity / True Positive Rate (0 to 1) (default: 0.99)
false_positive_rateP(E|~H) False Positive Rate (0 to 1) (default: 0.05)

Example response (live, compact)

{
  "apiId": "bayesian-probability-updater",
  "data_freshness": "cached",
  "data": {
    "prior_probability": 0.01,
    "sensitivity_true_positive": 0.99,
    "false_positive_rate": 0.05,
    "marginal_evidence_probability": 0.0594,
    "posterior_probability": 0.166667,
    "posterior_percentage": "16.67%",
    "bayes_factor": 19.8
  },
  "source": "100% Platform Deterministic Compute / Reference Engine",
  "license": "100% Platform Local Math"
}

Source & license

Source100% Platform Deterministic Compute / Reference Engine
License100% Platform Local Math
Source URLlocal://bayesian-calculator
Termshttps://creativecommons.org/publicdomain/zero/1.0/
CategoryKnowledge, Research & News › 5. Scientific Reference, Periodic Table & Text/RAG Utilities