The Badgers play the Cougars in a series of seven basketball games. Each team has an equal chance of winning each game. What is the probability that the Badgers will win at least four games? Express your answer as a common fraction.
Here's my best attempt
Probability that Badgers win at least 4 games =
1 - Probability that they win < 4 games =
1 - [ C(7, 0) + C(7, 1) + C(7,2) + C(7, 3) ] * (1/2)^7 = 1/2