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.
Practise Edexcel AS Level Maths Probability with exam-style questions for AS Level Maths. 13 questions covering Calculating Probabilities, Venn Diagrams, Mutually Exclusive and Independent Events, and Tree Diagrams, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.