At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To determine which defensive strategy is better in terms of winning probability, we can compare the probabilities of winning under each strategy.
### Step-by-Step Solution:
#### 1. Understand the Data
From the table provided:
- For "Regular Defense":
- Number of wins: 42
- Number of losses: 8
- Total games played: 50
- For "Prevent Defense":
- Number of wins: 35
- Number of losses: 15
- Total games played: 50
#### 2. Calculate the Probability of Winning under Each Strategy
The probability of winning under a given strategy can be calculated as the number of wins divided by the total number of games played with that strategy.
##### Probability of Winning with Regular Defense:
[tex]\[ \text{Probability of Win (Regular Defense)} = \frac{\text{Number of Wins (Regular Defense)}}{\text{Total Games (Regular Defense)}} = \frac{42}{50} \][/tex]
[tex]\[ \text{Probability of Win (Regular Defense)} = 0.84 = 84\% \][/tex]
##### Probability of Winning with Prevent Defense:
[tex]\[ \text{Probability of Win (Prevent Defense)} = \frac{\text{Number of Wins (Prevent Defense)}}{\text{Total Games (Prevent Defense)}} = \frac{35}{50} \][/tex]
[tex]\[ \text{Probability of Win (Prevent Defense)} = 0.7 = 70\% \][/tex]
#### 3. Compare the Probabilities
The probability of winning when using the "Regular Defense" is 84%, while the probability of winning when using the "Prevent Defense" is 70%.
#### 4. Draw a Conclusion
Since 84% (Regular Defense) is higher than 70% (Prevent Defense), the data suggests that playing the "Regular Defense" provides a better chance of winning compared to playing the "Prevent Defense". Therefore, the "Regular Defense" strategy is the better option for the coach based on the given outcomes.
### Step-by-Step Solution:
#### 1. Understand the Data
From the table provided:
- For "Regular Defense":
- Number of wins: 42
- Number of losses: 8
- Total games played: 50
- For "Prevent Defense":
- Number of wins: 35
- Number of losses: 15
- Total games played: 50
#### 2. Calculate the Probability of Winning under Each Strategy
The probability of winning under a given strategy can be calculated as the number of wins divided by the total number of games played with that strategy.
##### Probability of Winning with Regular Defense:
[tex]\[ \text{Probability of Win (Regular Defense)} = \frac{\text{Number of Wins (Regular Defense)}}{\text{Total Games (Regular Defense)}} = \frac{42}{50} \][/tex]
[tex]\[ \text{Probability of Win (Regular Defense)} = 0.84 = 84\% \][/tex]
##### Probability of Winning with Prevent Defense:
[tex]\[ \text{Probability of Win (Prevent Defense)} = \frac{\text{Number of Wins (Prevent Defense)}}{\text{Total Games (Prevent Defense)}} = \frac{35}{50} \][/tex]
[tex]\[ \text{Probability of Win (Prevent Defense)} = 0.7 = 70\% \][/tex]
#### 3. Compare the Probabilities
The probability of winning when using the "Regular Defense" is 84%, while the probability of winning when using the "Prevent Defense" is 70%.
#### 4. Draw a Conclusion
Since 84% (Regular Defense) is higher than 70% (Prevent Defense), the data suggests that playing the "Regular Defense" provides a better chance of winning compared to playing the "Prevent Defense". Therefore, the "Regular Defense" strategy is the better option for the coach based on the given outcomes.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.