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Mathematics, 21.02.2021 15:00, amandajbrewerdavis
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 �
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