Chapter 8.2, Problem 77E

The command in Figure A was used on a graphing calculator to simulate $50$ repetitions of rolling a pair of dice and recording their sum. A statistical plot of the results is shown in Figure B.

(A) Use Figure B to find the empirical probability of rolling a $7\text{ or }8.$

(B) What is the theoretical probability of rolling a $7\text{or}8$ ?

(C) Use a graphing calculator to simulate $200$ repetitions of rolling a pair of dice and recording their sum, and find the empirical probability of rolling a $7\text{ or }8.$