The events A A\,A and B B\,B are such that P(A)=0.45P(A) = 0.45P(A)=0.45, P(B∣A)=13P(B \mid A) = \dfrac{1}{3}P(B∣A)=31 and P(A∣B)=0.3P(A \mid B) = 0.3P(A∣B)=0.3.
Find P(A∩B)P(A \cap B)P(A∩B).
Find P(B)P(B)P(B).
Find P(A′∣B′)P(A' \mid B')P(A′∣B′).
164 exam-style questions on AQA A Level Maths 2.3.2 Conditional probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.