Select the correct answer.
By using relative frequency, Barney estimates that the probability of his high school team winning a soccer match against the Sweet Valley High School team is 0.2. Barney’s calculation is based on the results of 30 matches the two teams played. How many of these 30 matches did Barney’s high school team win?
 A. 
5
 B. 
6
 C. 
24
 D. 
30

To find the number of matches Barney's high school team won, we use the formula for probability based on relative frequency:

\[ \text{Probability} = \frac{\text{Number of wins}}{\text{Total matches}} \]

Given:
- Probability of winning (\( P \)) = 0.2
- Total matches (\( T \)) = 30

We need to find the number of wins (\( W \)):

\[ 0.2 = \frac{W}{30} \]

Solving for \( W \):

\[ W = 0.2 \times 30 \]
\[ W = 6 \]

Therefore, Barney's high school team won 6 matches out of 30.

The correct answer is:

**B. 6**

Would you like further details or have any questions? Here are 5 questions you might consider asking:
1. How can relative frequency be used to estimate probability in general?
2. What other methods can be used to estimate probability?
3. How is probability different from relative frequency?
4. What factors might affect the accuracy of probability estimates based on past matches?
5. How can probability estimates be used to predict future events?

**Tip:** When estimating probabilities using relative frequency, ensure you have a sufficiently large sample size to improve the accuracy of your estimate.

Learn how to calculate the probability of Barney's high school team winning against Sweet Valley High School based on relative frequency. Barney estimates a 0.2 probability after analyzing 30 matches. Discover the step-by-step solution and implications for future events.

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