Posted by **hmmm** on Wednesday, April 24, 2013 at 9:24am.

Two equally matched teams are playing a game of volleyball. Each team has a 1/2 chance of winning each point. The game ends once one of the teams gets to a score of 21. If the score is currently 18-16 for team A, the probability that team A will win the game can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

Details and Assumptions:

Clarification: Team A currently has 18 points, expressed via "18-16 for team A".

- Probability -
**Anonymous**, Thursday, April 25, 2013 at 9:13am
99/128

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