In a competition between players X and Y , the first player to win three games in a row or a total of four games wins. how many ways can the competition be played if X wins the first two games? (Draw a tree.)

3. In a competition between players X and Y, the rst player to win three games in a row or a total of four games wins. how many ways can the competition be played if X wins the rst two games? (Draw a tree.) 4. One urn contains two black balls (labeled Bl and 32) and one white ball. A second urn contains one black ball and two white balls (labeled W1 and W2). suppose the following experiment is performed: One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the rst ball. (a) What is the total number of outcomes of this experiment? (b) What is the number of ways that two black balls are chosen? (c) What is the number of ways that two balls of opposite colours are chosen