Question 1

In Figure 7.1 from the dice rolling module in Excel, before you roll any dice, what would we expect the mean of a set of rolls of a single die to be and why? What would you expect the mean of a roll of two dice to be and why?How do these numbers compare to the outcomes in Figures 7.6, 7.7, and 7.8?

Question 2

In Figure 7.2, you notice that the authors rolled two ones. Given that, what is the probability of rolling two ones on the next roll? Explain your answer.

Question 3

You will have noticed the gray bars in the dice rolling program in Excel- representing expected rolls- in all of the dice figures seem to be shaped almost like a normal distribution. Why is that? Be careful in answering this question and try to be as explicit as possible in arriving at your answer.

Question 4

Roll the dice 100 times in the Excel program. What are the means of die 1, die 2, and the sum of the two? How do these numbers compare to the outcomes we found in Figures 7.6, 7.7, and 7.8? What do you make of the similarities or differences?