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What is the minimum amount of samples we must take to be likely to have a sample which has a hat of every color?

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What is the minimum amount of samples we must take to be likely to have a sample which has a hat of every color?

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mathman

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Hurkyl

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neutrino: do you have any thoughts about how you might start this problem?

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what minimum # of hats must be drawn (without replacement) to have probability 1 of having each hat color represented at least once (if each color is "rather equally represented" in the original set of 400 hats)?neutrino71 said:

What is the minimum amount of samples we must take to be likely to have a sample which has a hat of every color?

(hint: what minimum # must be drawn to use up all colors except yellow, then choose 1 more.)

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