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Bayes probability

Calculate P(A|B) from prior P(A), P(B|A) and P(B|not A).

Free

Enter P(A), P(B|A) and P(B|not A). The calculator combines the two possible sources of B to find P(B), then divides P(A) × P(B|A) by that evidence probability.

◈ Local processingFree

How to use

  1. Enter your text, values, or image.
  2. Adjust the options and run the tool.
  3. Copy or download your result.

Worked example

Example input

P(A): 0.5
P(B | A): 0.8
P(B | not A): 0.2

Example result

{
  "evidenceProbability": 0.5,
  "posterior": 0.8
}

Limitations and details

All inputs must lie from 0 to 1; zero-probability evidence makes the posterior undefined, and the tool does not estimate likelihoods.

Inputs and options

P(A)
Number · Minimum: 0 · Maximum: 1
P(B | A)
Number · Minimum: 0 · Maximum: 1
P(B | not A)
Number · Minimum: 0 · Maximum: 1

Frequently asked questions

Is this tool free and private?

Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.

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