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Astronomers estimate that as many as 100 billion stars in the Milky Way galaxy may be encircled by planets. Let p denote the probability a randomly selected solar system contains intelligent life. Assume the occurrence of life in one solar system is independent of the occurrence of life in another solar system (so no interstellar migration, for example). Do not include our solar system in the calculations. I invent a spaceship capable of interstellar travel and visit solar systems until I encounter one that contains intelligent life. If the 1,000,000th solar system I visit is the first that contains intelligent life, what is the maximum value that p can be?
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