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Suppose a new planet is discovered, and NASA wants to know how watery it is. The watery portion of its surface could be anywhere from

Suppose a new planet is discovered, and NASA wants to know how watery it is. The watery portion of its surface could be anywhere from 0% to 100%, with all possibilities equally likely. They send out a series of 8 probes, each taking a sample from a random point on the planet's surface. The sequence of results from the first 7 probes is YYNYNNY, where Y means water was found and N means it wasn't. What is the probability the 8th probe will find water?

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