A box contains 7 fiction books, 5 non-fiction books, and 3 biographies. Two books are selected from the box at random without replacement.
Draw a tree diagram to represent this information.
Find the probability that the two books selected are both biographies.
Given that at least one of the books selected is non-fiction, find the probability that both books are non-fiction.
Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 100 questions covering Set Notation, Conditional Probability, Conditional Probabilities in Venn Diagrams, Probability Formulae, and Tree Diagrams, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.