This is a probability question that I have:

A school is playing a best of 5 series, where they will play 5 games until they have won 3 of them. After

winning 3 (or the other team winning 3), then the series will stop and they will not play the other games. If

the probability of winning a single game for the home team is 55%, then what is the overall probability that

they will win the best of 5 series? Begin by drawing a tree diagram and then show your work below. Round

your answer to 4 decimal places.