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Matching values of Die throws pt. 2

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What is the expected number of times a fair die must be thrown until all scores appear at least once?

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4 answers to this question

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  1. First number takes only 1 throw
  2. Second number takes 6/5 throws (six throws, expect that 5 will be different from first.
  3. Third number requires 6/4 throws (same reasoning)
  4. Fourth number takes 6/3 throws (ditto)
  5. Fifth number takes 6/2 throws
  6. Sixth number takes 6 throws.

Add them up. 14.7 throws.

But the average number of throws required to get all six is less than that, 13 and change.

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Posted · Report post

nice try Dark Magician

but what is the 'expected wait'?

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6?

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