In a company the 200 employees are classified as full-time workers,
part-time workers or contractors.
The table below shows the number of employees in each category
and whether they walk to work or use some form of transport.
Walk
Transport
Full-time worker
2
8
Part-time worker
35
75
Contractor
30
50
The events F, H and C are that an employee is a full-time worker, part-
time worker or contractor respectively.
Let B be the event that an employee uses the bus.
Given that 10% of full-time workers use the bus, 30% of part-time
workers use the bus and 20% of contractors use the bus, draw a Venn
diagram to represent the events F, H, C and B, and find the
probability
that a randomly selected employee uses the bus to travel
to work.
(6 marks)
