5 (a) [Figure showing 10 number cards: 2, 2, 2, 3, 4, 5, 5, 6, 8, 9] Khalid has these 10 number cards. He takes a card at random, notes the number and replaces it. He then takes a second card. (i) Find the probability that the first card Khalid takes shows an even number. (ii) Complete the tree diagram. [Figure incomplete tree diagram for First card and Second card with branches for even number and odd number] (iii) Work out the probability that Khalid takes one odd number and one even number. (b) Basma has a bag containing 5 yellow counters, 3 pink counters and 4 black counters. She takes two counters from the bag at random, without replacement. Find the probability that she takes one yellow counter and one pink counter. Give your answer as a fraction in its simplest form.

1. (a)(i)Find the probability that the first card Khalid takes shows an even number.[1]
2. (a)(ii)Complete the tree diagram.[2]
3. (a)(iii)Work out the probability that Khalid takes one odd number and one even number.[2]
4. (b)Basma has a bag containing 5 yellow counters, 3 pink counters and 4 black counters. She takes two counters from the bag at random, without replacement. Find the probability that she takes one yellow counter and one pink counter. Give your answer as a fraction in its simplest form.[3]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.