A wildlife conservation park employs 200 staff members divided into three departments: Enclosures, Veterinary, and Education. Each staff member is on either a Full-time or Part-time contract.
The distribution of staff members is shown in the table below:
| Contract Type | Enclosures | Veterinary | Education |
|---|---|---|---|
| Full-time | 45 | 15 | 20 |
| Part-time | 55 | 25 | 40 |
A staff member is selected at random. Find the probability that: (i) the staff member is on a Full-time contract. (ii) the staff member works in the Enclosures department.
Given that a randomly chosen staff member is on a Part-time contract, find the probability that this staff member does not work in the Veterinary department.
The park director wants to select three different staff members at random to form a focus group. Calculate the probability that all three staff members chosen work in the Enclosures department.
