Basic Concepts of Probability
- A conditional probability is the probability that an event has occurred, taking into account additional information about the result of the experiment.
- A conditional probability can always be computed using the formula in the definition. Sometimes it can be computed by discarding part of the sample space.
- Two events \(A\) and \(B\) are independent if the probability \(P(A \cap B)\) of their intersection \(A \cap B\) is equal to the product \(P(A) \cdot P(B)\) of their individual probabilities.