Question 14.5: Outcomes of a Tennis Game Using random numbers, simulate the......
Outcomes of a Tennis Game
Using random numbers, simulate the outcomes of a tennis game between Bennett and Aiden, with the additional condition that Bennett is twice as good as Aiden.
Since Bennett is twice as good as Aiden, he will win approximately two games for every one Aiden wins; hence, the probability that Bennett wins will be \frac{2}{3}, and the probability that Aiden wins will be \frac{1}{3}. The random digits 1 through 6 can be used to represent a game Bennett wins; the random digits 7,8, and 9 can be used to represent Aiden’s wins. The digit 0 is disregarded. Suppose they play five games, and the random number 86314 is selected. This number means that Bennett won games 2, 3, 4, and 5 and Aiden won the first game. The sequence is
\begin{array}{|l|l|l|l|l|}\hline 8 & 6 & 3 & 1 & 4 \\\hline \mathrm{A} & \mathrm{B} & \mathrm{B} & \mathrm{B} &\mathrm{B} \\\hline\end{array}