What you provide
What you provide
- Prior probability, using the same scenario as the other inputs
- Likelihood when A is true, using the same scenario as the other inputs
- Likelihood when A is false, using the same scenario as the other inputs
MATH / CONDITIONAL PROBABILITY
Bayes Theorem Calculator
Update a prior probability after one observed event using two conditional likelihoods. Review the symbolic equation, substituted values, interpretation boundary, and result in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Update a prior probability after one observed event using two conditional likelihoods. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
P(A|B)=P(B|A)P(A)/P(B)
What you receive
What you receive
- Posterior probability from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The entered prior and conditional probabilities describe mutually compatible events.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors