In: Statistics and Probability
1. Two groups are having competition for chase. If one plays it in its own campus it will win with probability P> ½. They will play three times, two in group 1’s campus and one in group 2’s campus. If one wins game 1 and 2, then game 3 is not going to be played. a) What is P[T], the probability that the group 1 wins the series? b) If they play only once will group 1 have higher chance of winning than from playing 3 games?