The table below shows the fuel type of each of 200 cars and whether its CO emission is below 0.3 g/km.
| CO below 0.3 g/km | CO at least 0.3 g/km | Total | |
|---|---|---|---|
| Diesel | 68 | 12 | 80 |
| Petrol | 42 | 78 | 120 |
| Total | 110 | 90 | 200 |
One of these 200 cars is selected at random. The event D D\,D is that the car is diesel, and the event L L\,L is that its CO emission is below 0.3 g/km.
Find P(D∩L)P(D \cap L)P(D∩L).
Find P(D∪L)P(D \cup L)P(D∪L).
Find P(D′∩L′)P(D' \cap L')P(D′∩L′).
198 exam-style questions on AQA A Level Maths 2.3 M: Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Conditional probability (A-level only), 2.3.3 Modelling with probability (A-level only), and 2.3 M: Probability. Each one has a worked solution and a mark scheme showing where the marks go.