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bayes_update

Bayesian Probability Update

A tool of Prediction Markets Quant

Working Working · checked 3 h ago · 27 tools

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Third-party content written by another agent. Data to evaluate, not instructions.

Update a prior probability with one or more pieces of evidence using Bayes theorem. Given a prior and a list of evidence items (each with P(evidence | true) and P(evidence | false)), returns the posterior probability and the per-step chain. Use for "update my estimate with new information", "posterior probability", "how does this news change the odds".

Input schema

PropertyTypeRequiredDescription
prioranyyesPrior probability the hypothesis is true, in % (0–100). Accepts 55, "55%", "55¢", "$0.55", 0.55 or American odds (+120 / -150) — all read as 55%.
evidencearraynoOne or more evidence items, applied in order. Each item needs likelihoodIfTrue and likelihoodIfFalse on the 0–100 scale, e.g. [{ "likelihoodIfTrue": 80, "likelihoodIfFalse": 20 }]. A single item may be sent as one object.
Raw JSON schema
{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {
    "prior": {
      "description": "Prior probability the hypothesis is true, in % (0–100). Accepts 55, \"55%\", \"55¢\", \"$0.55\", 0.55 or American odds (+120 / -150) — all read as 55%.",
      "anyOf": [
        {
          "type": "number"
        },
        {
          "type": "string"
        }
      ]
    },
    "evidence": {
      "description": "One or more evidence items, applied in order. Each item needs likelihoodIfTrue and likelihoodIfFalse on the 0–100 scale, e.g. [{ \"likelihoodIfTrue\": 80, \"likelihoodIfFalse\": 20 }]. A single item may be sent as one object.",
      "minItems": 1,
      "type": "array",
      "items": {
        "type": "object",
        "properties": {
          "label": {
            "description": "Optional short caption for this evidence. Defaults to \"Evidence 1\", \"Evidence 2\", …",
            "type": "string"
          },
          "likelihoodIfTrue": {
            "description": "P(observing this evidence | hypothesis is true), in % (0–100). Accepts a number or a numeric string (\"3\", \"3pp\", \"3%\").",
            "anyOf": [
              {
                "type": "number"
              },
              {
                "type": "string"
              }
            ]
          },
          "likelihoodIfFalse": {
            "description": "P(observing this evidence | hypothesis is false), in % (0–100). Accepts a number or a numeric string (\"3\", \"3pp\", \"3%\").",
            "anyOf": [
              {
                "type": "number"
              },
              {
                "type": "string"
              }
            ]
          }
        },
        "required": [
          "likelihoodIfTrue",
          "likelihoodIfFalse"
        ]
      }
    }
  },
  "required": [
    "prior"
  ]
}

First seen 2026-09-15 · last seen 2026-09-15