A company has three machines that produce a component. Machine D produces 50% of the components. Machine E produces 30% of the components and machine F produces 20% of the components.
If a component is produced by machine D the chance that it will be faulty is 4%. If a component is produced by machine E the chance that it will be faulty is 3%. If a component is produced by machine F the chance that it will be faulty is 2%.
Draw a tree diagram to show this information.
A component is selected at random. Find the probability it is from machine D and faulty.
A component is selected at random. Find the probability it is faulty.
186 exam-style questions on Edexcel A Level Maths Probability, covering 5.1 Calculating Probabilities, 5.2 Venn Diagrams, 5.3 Mutually Exclusive and Independent Events, and 5.4 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.