Bayes' Theorem Calculator
Apply Bayes' theorem to update a prior probability after observing new evidence.
Examples
- Prior 1%, likelihood 90%, false positive 5% ⇒ 15.38%
- Prior 20%, likelihood 80%, false positive 10% ⇒ 66.67%
FAQ
What is a prior?
The initial probability of an event before new evidence.
Why use percentages?
Percentages are easier for many users; the formula converts them to decimals.
Can probabilities exceed 100%?
No, inputs should be between 0 and 100%.
What does the result represent?
The updated probability of the event after considering the evidence.
Additional Information
- Named after Reverend Thomas Bayes.
- Useful for diagnostic testing and decision making under uncertainty.