You are blindfolded

Question:

A man, decides to give you some of his fortune. “Do you see this bag? I have 1001 pearls inside it. 501 of them are black, and 500 of them are white. No, I am not racist. You are blindfolded and I’ll let you take out any number of pearls from the bag. If you take out the same number of black and white pearls, I will reward you with a number of coins equivalent to the number of pearls you took.”
How many pearls should you take out to give yourself a good number of coins while still retaining a good chance of actually getting them.?

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Solution: If you took out 2 pearls, you would have about a 50% chance of getting 2 coins. However, you can take even more pearls and still retain the 50% chance.
Take out 5000 pearls. If the remaining pearl is white, then you’ve won 5000 coins!

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