The Venn diagram below shows three events AAA, B B\,B and CCC, with probabilities as marked, where q=P(A∩C)q = P(A \cap C)q=P(A∩C).
The events A A\,A and C C\,C are mutually exclusive, and the events A A\,A and B B\,B are independent.
Write down the value of qqq, giving a reason.
Find the value of ppp.
Find the value of rrr.
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.