Chapter 8.3, Problem 49MS

Rock n’ roll. As a project in your Geology and Art class, you create a pair of dice out of granite. One day you roll one die 27 times and notice that 1 comes up $(x+1)$ times, 2 comes up $(x+2)$ times, 3 comes up $(x+3)$ times, and the pattern continues. Determine how many times each face of the die appeared. Do you think your homemade die is fair? Explain your answer.