A tennis match can consist of the best of three sets (that is, the winner is the first to win two sets) or the best of five sets (the winner is the first to win three sets). Which would you be better off playing if you are the weaker player and have probability 0.40 of winning any particular set?
a. Simulate 10 matches of each type, using the Random Numbers applet on the text CD or other software. Show the steps of your simulation, and specify any assumptions.
b. Combining results for all students in the class, estimate the probability of the weaker player winning the match under each type of match.