Module 4: Conditional Probability

Question 1

what is the conceptual def of P(A|B)?

Answer 1

the conditional probability of event A given an B has happened

Question 2

what is the mathematical def of P(A|B)?

Answer 2

P(A ∩ B)/P(B)

Question 3

what is the multiplication rule for conditional probability?

Answer 3

P(E_1 ∩ E_2 ∩ … ∩ E_n) = P(E_1) * P(E_2 | E_1) * P(E_3|E_1 ∩ E_2) * … * P(E_n|∩…∩ E_n-1)