Since we assume the outcome of the games are independent and the probability that A wins any one game is p. We will have that:
The probability that:
Team A wins in 5 games = [tex]p^{4} (1p)[/tex]
Team B wins in 5 games = [tex]p(1p)^{4}[/tex]
Since there are 4 ways each team can win in 5 games, the probability that the series last 5 games is:
[tex]4[p^{4} (1p)+p(1p)^{4} ][/tex]
Thus, the answer is:
[tex]4[p^{4} (1p)+p(1p)^{4} ][/tex]
