Probability Sample

In the Ones Game, a player rolls twelve numbered cubes and removes any that show the numeral 1. The player continues rolling the remaining cubes until all are removed. The object is to remove all cubes in as few rolls as possible.

Question: Typically, how many rolls will it take to finish the Ones Game?

Extensions

Centers

The median of a triangle can be found by locating the balance point using a construction paper triangle and an unsharpened pencil. This method works for any closed planar figure and it can also be used to find population centers using weighted figures.

The population center of the United States can be found by using a construction paper cut-out of a U.S. map, regional or state population data, and raisins as weights.