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If I am rolling I die until I roll every number at least once, what is the expected value of times that I will need to roll the die?

After a brief computer simulation, I got 15. But why is this the answer?

Vasya
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  • http://math.stackexchange.com/questions/28905/expected-time-to-roll-all-1-through-6-on-a-die – mcihak Jun 18 '15 at 22:43

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