SPS SPS SM Statistics 2021 September — Question 4

Exam BoardSPS
ModuleSPS SM Statistics (SPS SM Statistics)
Year2021
SessionSeptember
TopicTree Diagrams
TypePopulation partition tree diagram

4. A company assembles drills using components from two sources. Goodbuy supplies the components for \(85 \%\) of the drills whilst Amart supplies the components for the rest.
It is known that \(3 \%\) of the components supplied by Goodbuy are faulty and \(6 \%\) of those supplied by Amart are faulty.
a Represent this information on a tree diagram. An assembled drill is selected at random.
b Find the probability that the drill is not faulty.