What is the expected number of rolls of a fair, normal 6-sided die, one is required to make, so that each of the 6 numbers comes up at least once?

Hint: this is not necessarily an integer answer
_____________________

As an aside, it would be interesting to see the computer program simulation of this, but this would not be proof of the solution (merely evidence supporting the proof).

(In reply to solution plus simulation-- and another question or two by Charlie)

Charlie,

Those are interesting questions. At (my) first glance, they seem to require brute forcing (perhaps w/computer) the solution. Is there an analytical way to solve eleven possible dice totals from 2-12, or the mode/median questions?

- SK

Posted by SilverKnight on 2004-01-26 14:12:22