A penalty shoot-out in a game of hockey requires each of two players to take a penalty

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A penalty shoot-out in a game of hockey requires each of two players to take a penalty hit to try to score a goal. In a simple model, each player has a probability of 0.8 of scoring a goal, and independence is assumed. Calculate the probability that exactly one goal is scored from the two hits. In an alternative model, the probability of the second player scoring is reduced to 0.7 if the first player does not score. Calculate the probability that the second player has scored, given that only (C) one goal is scored.

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