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Sagot :
To determine whether Ron should replace the pitcher or keep the pitcher in, we need to evaluate the likelihood of winning the game based on the past outcomes provided in the table.
The table shows the outcomes of Ron's decisions in similar situations. We will calculate the win percentages for both scenarios: replacing the pitcher and keeping the pitcher.
1. Win Percentage when Replacing the Pitcher:
- Ron replaced the pitcher 14 times.
- Out of these 14 times, the team won 8 times.
- Win Percentage = (Number of Wins when Replacing the Pitcher) / (Total Times Replaced the Pitcher)
- Win Percentage = 8 / 14
2. Win Percentage when Keeping the Pitcher:
- Ron kept the pitcher 10 times.
- Out of these 10 times, the team won 4 times.
- Win Percentage = (Number of Wins when Keeping the Pitcher) / (Total Times Kept the Pitcher)
- Win Percentage = 4 / 10
Next, we convert these fractions into percentages:
- Win Percentage when Replacing the Pitcher = (8 / 14) ≈ 0.57 or 57%
- Win Percentage when Keeping the Pitcher = (4 / 10) = 0.40 or 40%
Based on the information given in the table and the calculated win percentages:
- When Ron replaces the pitcher, the team's chance of winning is 57%.
- When Ron keeps the pitcher, the team's chance of winning is 40%.
Thus, the better decision, if Ron's goal is to win the game, would be to replace the pitcher. Therefore, the correct answer is:
B. Ron should replace the pitcher with a relief pitcher.
The table shows the outcomes of Ron's decisions in similar situations. We will calculate the win percentages for both scenarios: replacing the pitcher and keeping the pitcher.
1. Win Percentage when Replacing the Pitcher:
- Ron replaced the pitcher 14 times.
- Out of these 14 times, the team won 8 times.
- Win Percentage = (Number of Wins when Replacing the Pitcher) / (Total Times Replaced the Pitcher)
- Win Percentage = 8 / 14
2. Win Percentage when Keeping the Pitcher:
- Ron kept the pitcher 10 times.
- Out of these 10 times, the team won 4 times.
- Win Percentage = (Number of Wins when Keeping the Pitcher) / (Total Times Kept the Pitcher)
- Win Percentage = 4 / 10
Next, we convert these fractions into percentages:
- Win Percentage when Replacing the Pitcher = (8 / 14) ≈ 0.57 or 57%
- Win Percentage when Keeping the Pitcher = (4 / 10) = 0.40 or 40%
Based on the information given in the table and the calculated win percentages:
- When Ron replaces the pitcher, the team's chance of winning is 57%.
- When Ron keeps the pitcher, the team's chance of winning is 40%.
Thus, the better decision, if Ron's goal is to win the game, would be to replace the pitcher. Therefore, the correct answer is:
B. Ron should replace the pitcher with a relief pitcher.
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