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a particular football team is known to run 30% of its plays to the left and 70% to the right. a line backer on an opposing team note that the right guard shifts his stance most of the time (80%) when plays go to the right and he uses a balanced stance the remainder of the time. when plays go to the left, the guard takes a balanced stance 90% of the time and the shift stance the remaining 10%. on a particular play, the line backer notes that the guard takes a balanced stance. i) find the probability that the play will go the left ii) find the probability that the play will go the right iii) if you were the line backer, which direction would you prepare to defend if you saw the balanced stance.

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