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In the World Series of baseball, two teams A and B play a sequence of games against each other, and the first team that wins

In the World Series of baseball, two teams A and B play a sequence of games against each other, and the first team that wins a total of four games becomes the winner of the world series. If the probability that team A will win any particular game against team B is 1/3. Let X denote the number of games in the World Series until one of the teams win. For example, X=5, if either team A or team B wins the series in a total of five games. Find E(X) and Var(X).

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