Two bags, A A\,A and BBB, contain red, green and yellow counters.
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.
Taylor takes one counter at random from bag A A\,A and places it into bag BBB. She then takes one counter at random from bag BBB.
Find the probability that Taylor's two counters are the same colour.
Given that the two counters are the same colour, find the probability that they are both yellow.
164 exam-style questions on CCEA A Level Maths 4.4 Probability (A-level only), covering 4.4.1 Probability (A-level only), 4.4.2 Probability (A-level only), and 4.4.3 Probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.