Part 1: Theoretical Probability
A. Use a tree diagram to list all possible outcomes of the experiment of rolling two dice. B. Use your tree diagram to finish filling in this chart. C. Are the sums (2 through 12) listed equally likely? Explain your answer. We may observe that the probabilities for the sums 2-12 are not equally likely, as each sum has different number of favorable outcomes. Sum 2 and 12 have the least probability (1/36), as there is only one way you can get 2 (1,1) and 12 (6,6). On the contrary, the result 7 is ...