Two bags, A A\,A and BBB, contain red, green and yellow counters. Bag A A\,A contains 3 red counters, 2 green counters and 4 yellow counters. Bag B B\,B contains 5 red counters, 4 green counters and 1 yellow counter. Taylor picks one counter at random from bag A A\,A and places it into bag BBB. She then picks one counter at random from bag BBB.
Draw a tree diagram to represent this information.
Find the probability that Taylor picks two counters of the same colour.
Given that both counters are the same colour, find the probability they are both yellow.
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.