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We play basketball against one of three teams with equal probability. Our probability of winning against each team is shown below: If we play against

We play basketball against one of three teams with equal probability. Our probability of winning against each team is shown below: If we play against team 1: we win with a probability of 1/2 . If we play against team 2: we win with a probability of 1/4 . If we play against team 3: we win with a probability of 1/8 . Let Win denote the event that we win, and Lose = Winc. (a) Compute P[Win]. (b) Compute P[We play against team 3|Win]. (c) Compute P[We play against either team 1 or team 2|Win]. (d) Compute P[We play against either team 1 or team 2|Lose]

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