The USA 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 eavh player is assessed as pass or fail players who archive a pass in the first three games are invited to join the first team squad
played who archive a pass in the first two games are invited to join the second squad players who fail to win in two games as asked to leave the follow things 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 the probability of 0.5

a) represent the above on a tree diagram
b) find the probability that a randomly selected player
i) is invited to join the first squad
ii) is invited to join the second squad
iii) is asked to leave
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