1. Another popular sport on SASN is One-out, Two-base baseball. In this sport th
ID: 1215816 • Letter: 1
Question
1. Another popular sport on SASN is One-out, Two-base baseball. In this sport there are, obviously, two bases: home and 2nd. The batter hits the ball and runs to 2nd. If he or she (it’s a co-ed sport) gets a hit, then the batter is on second. If it’s an out, then the inning is over and the other team gets to bat. Suppose that it’s a hit. Then the next batter bats with a runner on 2nd base. If that batter makes an out, the inning is over. If that batter gets a hit, the run scores and the game and his or her team wins. The probability of any batter getting a hit is 1/3.
a. There are four states in this game. List all four of them.
b. Draw the tree.
c. Write an equation for the value of being the team at bat with no one on base.. (Hint: let V be the value of being at bat with no one on base. Then –V is the value of your opponent being at bat with no one on base.)
d. Solve the equation in part b. Value = ________________
e. What is the probability that the team at bat with no one on base will win the game? Probability = ______________
Explanation / Answer
Ans (A) Four states (not counting win and lose):
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.