The rules of Major League Baseball\'s World Series stipulate thatthe first team

Question

The rules of Major League Baseball's World Series stipulate thatthe first team to win 4 games wins the World Series. Team A andteam 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 networkthat has paid millions of dollars for the rights to televise thisWorld Series. The network CEO is concerned that the network willlose money because of insufficient advertising revenue from thegames. The CEO wants you to immediately answer the followingquestions:

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

b. What is the probability that the WorldSeries ends in exactly 5 games? 2Hint: Don't use5C4. (Use 2 decimal places.)

Explanation / Answer

p=0.5, X~Geometric(p=0.5) (a) P(x=4)=((1-p)^3)*p=((1-0.5)^3)*0.5=0.0625 (b) P(x=5)=((1-0.5)^4)*0.5=0.03125

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