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Mathematics
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The NU soccer team has 2 games scheduled for the weekend. It has a 0.4 probability of not losing the first game and a 0.7 probability of not losing the second game, independently of the first game. If it does not lose a particular game, the team is equally likely to win or tie, independently of what happens in the other game. The team will receive two points for a win, 1 point for a tie, and 0 for a loss. Find the PMF of the number of points that the team earns over the weekend.
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