Problem bank

Problem 280 of 333MediumProbabilityP280

Loaded dice with a uniform total

  1. You may load two six-sided dice however you like: each die shows 1 through 6, with any probabilities, and the two dice may be loaded differently. Can you make the total uniformly distributed on {2,3,…,12}\{2, 3, \dots, 12\}, so that each total has probability 111\frac{1}{11}?