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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> In raquetball, a player continues to serve as long as she is winning; a point is scored only when a player is serving and wins the volley. The first player to win 21 points wins the game. Assume that you serve first and have a probability .6 of...")
 
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In raquetball, a player continues to serve as long as she is winning; a point is scored only when a player is serving and wins the volley.  The first player to win 21 points wins the game.  Assume that you serve first and have a probability .6 of winning a volley when you serve and probability .5 when your opponent serves.  Estimate, by simulation, the probability that you will win a game.
\newcommand{\NA}{{\rm NA}}
\newcommand{\mat}[1]{{\bf#1}}
\newcommand{\exref}[1]{\ref{##1}}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}</math></div> In raquetball, a player continues to serve as long as
she is winning; a
point is scored only when a player is serving and wins the volley.  The first
player to win 21 points wins the game.  Assume that you serve first and have
a
probability .6 of winning a volley when you serve and probability .5 when
your
opponent serves.  Estimate, by simulation, the probability that you will win
a
game.

Latest revision as of 20:05, 12 June 2024

In raquetball, a player continues to serve as long as she is winning; a point is scored only when a player is serving and wins the volley. The first player to win 21 points wins the game. Assume that you serve first and have a probability .6 of winning a volley when you serve and probability .5 when your opponent serves. Estimate, by simulation, the probability that you will win a game.