In table tennis, the first person to get at least 21 points while being ahead of the opponent by at least two points wins the game. In games between you and an opponent, suppose successive points are independent, and suppose the probability of your winning any given point is 0.40.
a. Do you have any reasonable chance to win a game? Showing all steps, simulate two games, using the Random Numbers applet on the text CD or other software. (Let the integers 0–3 represent winning a point and 4–9 represent losing a point.)
b. Combining results for all students in the class, estimate the probability of winning.