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Question 3 {7 marks[ Alan and Ben advance to the final of a tennis tournament and will play with each other. The final has five

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Question 3 {7 marks[ Alan and Ben advance to the final of a tennis tournament and will play with each other. The final has five sets and whoever wins three sets of the final first will be the champion. In any one set, Alan's chance of winning is 0.4. Assuming that both players perform independently in each set. What is the probability that Alan will be the champion? (7 marks}

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