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.
198 exam-style questions on AQA A Level Maths 2.3 M: Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Conditional probability (A-level only), 2.3.3 Modelling with probability (A-level only), and 2.3 M: Probability. Each one has a worked solution and a mark scheme showing where the marks go.