1 The first two and the last two games of the series are scheduled to be held in St. Louis while the middle three are scheduled to be held in Texas. How many possible outcomes are there in which St. Louis wins the series yet loses two of its home games?
If they win in 6 games there is one way to win it, if they win in 7 games im pretty sure its C(3,2) * C(3,1). So this is ten so ten + one= 11.
Is this correct?
2 Assuming that the teams are evenly matched in every game (i.e., the probability that any team wins a particular game is exactly 1/2 independent of all other games), what is the probability that the series will last at least 6 games?
For this one it seems like it would be conditional probability, I was thinking since the probability of it being 6 games is 1/4 ( can be 4,5,6 or 7 games. and each team had a 1/2 chance of winning... But does the question of probability of it being 6 games depend at all on the change of winning?