Statistics and Probability · Combinatorics and conditional probability

Conditional probability and independence

How knowing one event happened changes, or doesn't change, the probability of another.

Also known as: P(A given B), independent events, law of total probability.

Start a lesson on Conditional probability and independence

Learn first

• Probability basics: The formal rules, sample spaces, events, axioms, that make "the chance of something" a well-defined number.

Leads to

• Bayes' theorem: Flipping a conditional probability around, going from P(evidence given cause) to P(cause given evidence).

Related topics

• Bayes' theorem: Flipping a conditional probability around, going from P(evidence given cause) to P(cause given evidence).
• Markov chains: A sequence of states where the next state depends only on the current one, not the full history.