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My friend and I are playing a best-out-of-seven table tennis tournament.  We have an equal chance of winning any game.  I have won two games, and my friend has won one game.  What is the probability that I win the tournament?

 Jul 14, 2020
 #1
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To win the tournament you will need to win two more games and not lose more than two games.

 

The various ways that you can win are:

WW             (½)(½)            =

WLW           (½)(½)(½)       =  

WLLW         (½)(½)(½)(½)  =

LWW           (½)(½)(½)       =

LWLW         (½)(½)(½)(½)  =

LLWW         (½)(½)(½)(½)  =

 

Calculate each of the above situations and add them together for your final answer.

 Jul 14, 2020

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