Probability

The probability of an event E

The probability of an event E occurring given that another event F has already occurred, denoted as P(E|F) = P(E∩F)/P(F), where P(F) ≠ 0. It represent

States that P(E∩F) = P(E) ×

States that P(E∩F) = P(E) × P(F|E) = P(F) × P(E|F), provided the respective probabilities are non-zero. This helps calculate the probability of simult

Two events E and F

Two events E and F are independent if P(E∩F) = P(E) × P(F), meaning the occurrence of one event does not affect the probability of the other. Also, P(

A collection of events E₁

A collection of events E₁, E₂, ..., Eₙ that are mutually exclusive (pairwise disjoint), exhaustive (their union equals the sample space S), and each h

If E₁

If E₁, E₂, ..., Eₙ form a partition of sample space S, then for any event A: P(A) = Σ P(Eᵢ) × P(A|Eᵢ) for i = 1 to n.