A bag contains 10 blue counters, 8 red counters and 6 green counters.
Two counters are removed from the bag at random, one after the other, without replacement.
Draw a tree diagram to represent this information.
Find the probability that both counters removed are green.
Given that at least one of the counters removed is red, find the probability that both counters are red.
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.