The table below shows the contract type of each of 400 employees and whether the employee completed a training course.
| Completed training | Did not complete training | Total | |
|---|---|---|---|
| Full-time | 30 | 130 | 160 |
| Part-time | 90 | 150 | 240 |
| Total | 120 | 280 | 400 |
One employee is selected at random. The event F F\,F is that the employee works full-time, and the event T T\,T is that the employee completed the training.
Find P(F∩T)P(F \cap T)P(F∩T).
Find P(F∪T)P(F \cup T)P(F∪T).
Find P[(F∩T)′]P\left[(F \cap T)'\right]P[(F∩T)′].
Determine whether F F\,F and T T\,T are independent.
200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.