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Suppose we have two NBA teams - for simplicity team A and team B - who have made it to NBA Playoffs. In each game

Suppose we have two NBA teams - for simplicity team A and team B - who have made it to NBA Playoffs. In each game between these two teams, team A has a winning probability of 0.55, and team B has a winning probability of 0.45. What is the probability that these two teams will play the 7th game in NBA Playoffs? (Notes: There cannot be a tie in any game (i). Please check this link for more information about NBA Playoffs: https://en.wikipedia.org/wiki/NBA_playoffs and to think about possible combinations (ii). Also, please show your solution step-by-step by using what you know about marginal probability, conditional probability, joint probability, and the Bayes' theorem (iii)).

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