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Suppose there are 1.2104 civilizations broadcasting radio signals in the Milky Way Galaxy right now. On average, how many stars would we have to

Suppose there are 1.2×104 civilizations broadcasting radio signals in the Milky Way Galaxy right now. On average, how many stars would we have to search before we would expect to hear a signal? Assume there are 500 billion stars in the galaxy. How does your answer change if there are only 110 civilizations instead of 1.2×104?

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