Two events A A\,A and B B\,B both have non-zero probability. Explain why they cannot be both mutually exclusive and independent.
Two events C C\,C and D D\,D are independent, with P(C)=0.4P(C) = 0.4P(C)=0.4 and P(C∪D)=0.58P(C \cup D) = 0.58P(C∪D)=0.58. Find P(D)P(D)P(D).
Hence find P(C′∩D)P(C' \cap D)P(C′∩D).
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.