The Zambia ICT Chess club invites prospective new players to take part in a series of three trial games. At the end of each game, the performance of each player is assessed as pass or fail. Players who achieve a pass in the first three games are invited to join the first team squad. Players who achieve a pass in the first two games are invited to join the second squad. Players who fail to win in two games are asked to leave. The following may happen,  The probability of passing the first game is 0.9  Players who pass any game have a probability of 0.9 of passing the next game  Players who fail any game have probability of 0.5 of failing the next game a. Represent the above on a tree diagram [2 �ю�ј� b. Find the probability that a randomly selected player i. Is invited to join the first squad [2 �ю�ј� ii. Is invited to join the second squad [3 �ю�ј� iii. Is asked to leave [1 �ю�ј] Mutale, Bwalya and Mulenga attend the trials at the same time. Assuming their performances are independent, find the probability that c. At least one of the three is asked to leave [3 �ю�ј� d. They pass a total of seven games between them [5 �