Edexcel S1 2014 June — Question 7

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2014
SessionJune
TopicTree Diagrams
TypePopulation partition tree diagram

7. In a large company, 78\% of employees are car owners,
\(30 \%\) of these car owners are also bike owners,
85\% of those who are not car owners are bike owners.
  1. Draw a tree diagram to represent this information. An employee is selected at random.
  2. Find the probability that the employee is a car owner or a bike owner but not both. Another employee is selected at random. Given that this employee is a bike owner,
  3. find the probability that the employee is a car owner. Two employees are selected at random.
  4. Find the probability that only one of them is a bike owner.