All six faces (coupon collector)

What is the expected number of rolls of a fair die until you have seen all six faces at least once? Give a decimal to one place.

Show hints (2)+
  1. Break the wait into stages by number of distinct faces seen.
  2. Each stage is geometric.

Answer

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14.7 (± 0.1)

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Asked at: Citadel, Two Sigma

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