The table below shows the fuel type of each of 400 cars and whether its CO2 _2\,2 emission is above 200 g/km.
| CO2 _2\,2 above 200 g/km | CO2 _2\,2 at most 200 g/km | Total | |
|---|---|---|---|
| Diesel | 30 | 130 | 160 |
| Petrol | 90 | 150 | 240 |
| Total | 120 | 280 | 400 |
One of these 400 cars is selected at random. The event D D\,D is that the car is diesel, and the event H H\,H is that its CO2 _2\,2 emission is above 200 g/km.
Find P(D∩H)P(D \cap H)P(D∩H).
Find P(D∪H)P(D \cup H)P(D∪H).
Find P[(D∩H)′]P\left[(D \cap H)'\right]P[(D∩H)′].
Determine whether D D\,D and H H\,H are independent.
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.