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Liam and Brandon are competing against one another in basketball to determine which of them is a better free throw shooter. Liam has a 73.6%
Liam and Brandon are competing against one another in basketball to determine which of them is a better free throw shooter. Liam has a 73.6% chance of scoring whenever he attempts a free throw, and Brandon has an 83.5% chance of scoring when he attempts a free throw. a) (3 marks) Brandon and Liam each attempt 3 free throws. What is the probability that Liam scores more of his attempted free throws than Brandon? b) (3 marks) If Brandon and Liam score the same number of their first three free throws, then they will continue to shoot until one of them wins. In each "round", Liam and Brandon both attempt one free throw, and they continue until one player has scored more than the other. Suppose that Liam and Brandon have scored the same number of their first three free throws. What is the probability that they will each need to attempt at least 5 more free throws before determining a winner
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