The Venn diagram below shows three events AAA, B B\,B and CCC, with probabilities as marked.
It is given that P(A)=0.4P(A) = 0.4P(A)=0.4 and P(A∪B)=0.7P(A \cup B) = 0.7P(A∪B)=0.7.
Find the values of ppp, q q\,q and rrr.
State, giving a reason, whether the events 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.