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2.3.2 Diagrams to assist probability calculations

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Question 16

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%.

a.

Draw a tree diagram to show this information.

[3]
b.

A component is selected at random. Find the probability it is faulty.

[2]
c.

Given that the component is faulty, find the probability it was produced by machine C.

[3]

2.3.2 Diagrams to assist probability calculations Questions

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  3. /2.3.2 Diagrams to assist probability calculations