A company has three machines that produce a component. Machine A produces 50% of the components. Machine B produces 30% of the components and machine C produces 20% of the components.
If a component is produced by machine A the chance that it will be faulty is 2%. If a component is produced by machine B the chance that it will be faulty is 3%. If a component is produced by machine C the chance that it will be faulty is 4%.
A component is selected at random. Draw a tree diagram to show this information and hence find the probability it is faulty and, given that the component is faulty, the probability it was produced by machine C.
368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.