Work out multiplication rule of probability instantly with clear inputs, formula shown and shareable results.
The general multiplication rule is P(A ∩ B) = P(A)·P(B|A). Rearranging gives Bayes' theorem P(A|B) = P(A)P(B|A)/P(B), which reverses the direction of conditioning.
Multiplication rule
P(A ∩ B) = P(A)·P(B|A)
Bayes' theorem
P(A|B) = P(A)·P(B|A) / P(B)
Both occur with probability 0.18, and P(A|B) = 0.18/0.25 = 0.72.
Under independence P(B|A) = P(B), so the rule reduces to the plain product P(A)P(B).