The rules of Major League Baseball’s World Series stipulate that the first team to win 4 games wins the World Series. Team A and team B are playing in the World Series and they are evenly matched (that is, each team has a .50 chance of winning each game).

You are the director of marketing for the television network that has paid millions of dollars for the rights to televise this World Series. The network CEO is concerned that the network will lose money because of insufficient advertising revenue from the games. The CEO wants you to immediately answer the following questions:

a. What is the probability that the World Series ends in exactly 4 games? 1 Hint: There are 2 teams. (Use 3 decimal places.)

b. What is the probability that the World Series ends in exactly 5 games? 2 Hint: don’t use 5C4. (Use 2 decimal places.)

c. What is the probability that the World Series ends in exactly 6 games? 3 (Use 4 decimal places.)

d. What is the probability that the World Series ends in exactly 7 games? 4 (Use 4 decimal places.)

Note: The players on the participating teams in the World Series receive money generated only by the first 4 games. This is to eliminate the possibility that teams will intentionally lose games so that more than 4 games are required to determine the World Series winner. In any given World Series players make the same money playing 4, 5, 6 or 7 games.