Posterior Probability

Expresses the likelihood of an Event given some observed evidence and can be calculated with $P(a\mid b)=\frac{P(a\wedge b)}{P(b)}$

where $P(b)\ne 0.$

Intuition: The likelihood of having $a$ and $b$, within the set of Outcomes where we have $b$.

See

• Bayes Theorem
• Prior Probability
• Likelihood
• Evidence
• Conditional Probability Distribution