A fruit basket contains 12 apples, 9 bananas, and 4 oranges. Two pieces of fruit are taken from the basket at random.
Draw a tree diagram to represent this information.
Find the probability that both pieces of fruit are oranges.
Given that at least one of the fruits is a banana, find the probability that both are bananas.
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.