Weird dice Nonstandard dice can produce interesting distributions of outcomes. Suppose you have two balanced, six-sided dice. Die A has faces with 2, 2, 2, 2, 6, and 6 spots. Die B has faces with 1, 1, 1, 5, 5, and 5 spots. Imagine that you roll both dice at the same time.

(a) Find a probability model for the difference (Die A −

Die B) in the total number of spots on the up-faces.

(b) Which die is more likely to roll a higher number?

Justify your answer.