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# Bayes Theorem

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Equation / Last modified by MichaelBartmess on 2018/05/26 02:17
`P(A|B) = `

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vCollections.Bayes Theorem

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2b0f84d1-cf72-11e5-9770-bc764e2038f2

**Bayes' Theorem**, `P(A|B) = (P(B|A)*P(A))/(P(B))`, computes the probability of event **A** occurring if event **B** is true.

## Inputs

- P(A) is the probability of A being true independent of B
- P(B) is the probability of B being true independent of A
- P(B|A) is the probability of B being true if A has been observed (is true)

### Probabilities

Probabilities are expressed here as decimals between 0 and 1, where 0 means there is no chance of an occurrence and 1 implies a certainty of occurrence. For example, an event with a 20% chance of occurrence has a probability of 0.2.

### Application

Baye's Theorem is helpful when considering test results, especially medical test results. For example, you may have tested positive for a disease like Zika or HIV. But there is a potential for a FALSE positive. CLICK HERE for an insightful blog on how a false positive can be judged.

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**Bayes Theorem**, is listed in 1 Collection.