Chapter 2, Problem 37P

For a single dice roll, there is a $\frac{1}{6}$ chance that any particu-lar number will appear. For a pair of dice, each specific combination of numbers has a probability of $\frac{1}{36}$ occurring. Most total values of two dice can occur more than one way. As a test of random probability theory, a student decides to roll a pair of six-sided dice 300 times and tabu-late the results. She tabulates the number of times each different total value of the two dice occurs. Her results are the following:

The student tells you that her results fail to prove that random chance is the explanation for the outcome of this experiment. Is she correct or incorrect? Support your answer.