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?
+23246 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.
