Question

Which of the following formulas is used to mathematically recognize and explain the conditional probability of event A, given event B?


Select an answer

A.
P(A and B) = P(A) ∙ P(B)


B.
P(A and B) = (𝑃(𝐴))/(𝑃(𝐴 𝑎𝑛𝑑 𝐵))


C.
P(A|B) = (𝑃(𝐴 𝑎𝑛𝑑 𝐵))/(𝑃(𝐵))


D.
P(A|B) = (𝑃(𝐴 𝑎𝑛𝑑 𝐵))/(𝑃(𝐴))

Answer 1

C. P(A|B) = P(A and B) / P(B)

Reason: Conditional probability P(A|B) is the probability that A occurs given B has occurred; it's defined as the joint probability P(A and B) divided by P(B) (assuming P(B) > 0).