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The positions on a lacrosse team are called defenders D midfielders M and attackers A...

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The positions on a lacrosse team are called defenders D midfielders M and attackers A One player is chosen at random to lead the team in exercises before each game The letters MDD mean that a midfielder was chosen at the first game and a defender was chosen at the next two games The list of all possible outcomes is shown where each outcome has equal probability of occurring AAA AMA ADA MAA MMA MDA AAM AMM ADM MAM MMM MDM AAD AMD ADD MAD MMD MDD What is the probability that a defender is chosen at least once given that a midfielder is chosen at the first game O A O B 19 DAA DMA DDA DAM DMM DDM DAD DMD DDD 113

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