Expectation · Dice
Every face on a loaded die
A loaded die lands on six 2 times as often as on any other face: P(six) = 2/7 and each of the faces one to five has probability 1/7. You roll it until every one of the six faces has appeared at least once. What is the expected number of rolls?
Answer with an expected value. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
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