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AI Bayes Theorem Posterior Probability & Diagnostic Accuracy Calculator

Applies Bayes Theorem to compute exact posterior probability P(A|B) from prior probability, sensitivity (true positive rate), and false positive rate.

Call it (no API key)

GET https://api.agentdatahub.de/api/v1/call/ai-tool-bayesian-inference-updater?prior=0.01&sensitivity=0.99&false_positive=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":"ai-tool-bayesian-inference-updater"}

Parameters

Example response (live, compact)

{
  "apiId": "ai-tool-bayesian-inference-updater",
  "data_freshness": "live",
  "data": {
    "tool": "ai-tool-bayesian-inference-updater",
    "prior_probability": 0.01,
    "sensitivity_true_positive_rate": 0.99,
    "false_positive_rate": 0.05,
    "specificity": 0.95,
    "marginal_likelihood_pB": 0.0594,
    "posterior_probability_pA_given_B": 0.166667,
    "posterior_pct": "16.67%"
  },
  "source": "100% Platform-Native Deterministic AI Core Utility (<1ms)",
  "license": "100% Platform-Owned Deterministic Algorithm (Commercial Use Allowed)"
}

Source & license