Question 8.64
33. Balanced six-sided dice with altered labels can produce interesting distributions of outcomes. Construct the probability model (sample space and assignment of probabilities for each sum) for rolling the dice that is featured in Joseph Gallian’s article “Weird Dice” in the February 1995 issue of Math Horizons. Instead of using the regular values {1, 2, 3, 4, 5, 6}, one die has the labels 1, 2, 2, 3, 3, 4, and the other die has the labels 1, 3, 4, 5, 6, 8. How does this model compare with the model for regular dice?
33.
Like tossing a pair of standard dice, the sample space contains sums between 2 and 12 from the 36 possible outcomes of rolling this pair of “weird dice.” (See bottom of this page.) The probability for each sum is the same as the pair of standard dice.
| Outcome | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| Probability |