For two events A A\,A and B B\,B it is given that P(A)=0.6P(A) = 0.6P(A)=0.6, P(B)=0.5P(B) = 0.5P(B)=0.5 and P(A′∩B′)=0.1P(A' \cap B') = 0.1P(A′∩B′)=0.1.
Find P(A∩B)P(A \cap B)P(A∩B).
Draw a Venn diagram to represent this information.
Determine whether A A\,A and B B\,B are independent.
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.