A company has three machines that produce a component. Machine A produces 40% of the components. Machine B produces 35% of the components and machine C produces 25% of the components.
If a component is produced by machine A the chance that it will be faulty is 3%. If a component is produced by machine B the chance that it will be faulty is 2%. If a component is produced by machine C the chance that it will be faulty is 1%.
Draw a tree diagram to show this information.
A component is selected at random. Find the probability it is from machine A and faulty.
A component is selected at random. Find the probability it is faulty.
36 exam-style questions on CCEA A Level Maths 2.6 Probability, covering 2.6.1 Probability, 2.6.2 Probability, 2.6.3 Probability, and 2.6 Probability. Each one has a worked solution and a mark scheme showing where the marks go.