Problem bank

Problem 302 of 333HardStochastic ProcessesP302

Collecting faces on a loaded die

  1. A die is loaded so that 6 comes up with probability 1/21/2 and each of the faces 1 through 5 comes up with probability 1/101/10. What is the expected number of rolls until every face has appeared at least once? Is that more or less than for a fair die?