A company has three machines that produce a component. Machine A produces 20% of the components, machine B produces 45% of the components and machine C produces the rest of the components.
4% of the components produced are faulty.
Of the components produced by machine A, 3% are faulty and of the components produced by machine B, 5% are faulty.
Find the percentage of components produced by machine C that are faulty.
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.