Chapter 8.1, Problem 90E

In Problems $87\text{-}90$, several experiments are simulated using the random number feature on a graphing calculator. For example, the roll of a fair die can be simulated by selecting a random integer from, and $50$ rolls of a fair die by selecting $50$ random integers from $1\text{ to }6$ (see Fig. A for Problem $87$ and your user's manual).

From a box containing $12$ balls numbered $1$ through $12$, one ball is drawn at random.

(A) Explain how a graphing calculator can be used to simulate $400$ repetitions of this experiment.

(B) Carry out the simulation and find the empirical probability of drawing the $8$ ball.

(C) What is the probability of drawing the $8$ ball under the equally likely assumption?