How many ways can the strings “AAABB”, “AAAAB”, or “AAAAA” be arranged?
Any of those strings represents a way in which team A can win.
There are total ways that two teams can play five games.
Team A and team B are playing a "best three out of five" series to determine a champion. Team A is the stronger team with an estimated probabilyt of 4/5 of winning any game. What is the probabilyt that team A will be the winner of the series? That Team B will be the winner? Approximate your answer to 3 decimal places.