Bag A A\,A contains 3 red, 2 green and 4 yellow counters. Bag B B\,B contains 5 red, 4 green and 1 yellow counter. One counter is selected from bag A A\,A and placed in bag BBB, then one counter is selected from bag BBB.
Find the probability that the two selected counters have the same colour.
Given that they have the same colour, find the probability that both are yellow.
164 exam-style questions on OCR (MEI) A Level Maths 2.3.10 Conditional probabilities (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.