Probability theory
Conditional probability
Conditional events, intersections, independence and total probability.
Probability theory
Conditional probability
P(A|B)=P(A∩B)/P(B)→Probability theoryIntersection from conditional probability
P(A∩B)=P(A|B)P(B)→Probability theoryIntersection of independent events
P(A∩B)=P(A)P(B)→Probability theoryGeneral addition rule
P(A∪B)=P(A)+P(B)−P(A∩B)→Probability theoryTotal probability for two hypotheses
P(A)=P(H₁)P(A|H₁)+P(H₂)P(A|H₂)→Probability theoryTotal probability from hypothesis lists
P(A) = ΣP(Hᵢ)P(A|Hᵢ)→