Two teams, A and B, will play a best-of-seven series, which will end as soon as one of the teams wins four games. Thus, the series may end in four, five, six, or seven games. Assume that based on past games played, Team A has a 60% chance of winning each game and that all games are independent of one another. Find the following probabilities. Show all your work. Hint: Make sure that you show how you can use the binomial formula help you find each of the following probabilities:

1.The probability that the series ends in 4 games

2.The probability that Team A wins the series in five games

3.The probability that All seven games are required for a team to win