Originally Posted by

**anime_mania** Hey guys i need help wiht this problem:

Suppose that two evenly matched teams play in the best-of-seven NBA Finals (This means that the first team to win four games wins the championship). They are so evenly matched that the probability of either team’s winning any particular game is precisely 50 percent. Not only that, the teams don’t get overconfident or discouraged, so the 50 percent probability doesn’t change as the Finals progress.

Under these conditions, it is quite unlikely that either team will engineer a four-game sweep. In fact it turns out that a sweep is one-half as likely as the Finals ending in five games.

What is the probability that the Finals will go the full seven games?

thanks