We're looking for the probability that the Colonials win exactly https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?0
of https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?7
games chosen at random, assuming that the Colonials are equally likely to win a game as not to win it. Note that we're not looking for the probability that the Colonials win a specific https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?0
of those https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?7
games, but rather for the probability that they win any https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?0
of those https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?7
games. What we can do is to find the probability that the Colonials win a specific group of https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?0
of the https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?7
games, repeat this for all possible specific groups of https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?0
of the https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?7
games, and then add up all these probabilities to obtain the probability that the Colonials win any https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?0
of the https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?7
games.