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Priceless pearls

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Yragle the pirate has 100 white pearls and 100 black pearls. The white pearls are worthless, the black pearls are priceless. He will let you distribute the pearls between two sacks, labeled "Heads" and "Tails." After you distribute the pearls, you flip a fair coin and choose a pearl at random from the corresponding sack. How should you distribute the pearls between the two sacks to maximize your odds of getting a black pearl?

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Putting a single black pearl in one bag and all of the others in the other bag gives you just a shade under 3/4 probability of picking a black pearl

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Agree with SP. This is a classic.

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