The events A A\,A and B B\,B are such that P(A)=516P(A) = \dfrac{5}{16}P(A)=165, P(B)=12P(B) = \dfrac{1}{2}P(B)=21 and P(A∣B)=14P(A \mid B) = \dfrac{1}{4}P(A∣B)=41.
Find P(A∩B)P(A \cap B)P(A∩B).
Find P(B′∣A)P(B' \mid A)P(B′∣A).
200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.