The probability that any car passes its emissions test is 0.8. Whether one car passes is independent of whether any other car passes.
Two cars are tested.
Find the probability that both cars pass.
Find the probability that at least one of the two cars passes.
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.