Problem
of the
Week

PROBLEM 165

Suppose a game of volleyball is tied at a score of 19 - 19.  What is the probability that the game ends with a score of 21 - 19?  

Some particulars:  To win a game of volleyball a team must score  21 points and win by a margin of at least 2 points.  A team winning a rally either (a) scores a point if it served the ball, or (b) gains the right to serve the next rally if it received the ball.  In order to win a point a team must be serving the ball.  

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ã2003 Alberto L. Delgado