To determine the probability that a student attended the game given that the student is from North Beach, we can use the concept of conditional probability. Here’s a step-by-step solution:
1. Identify the relevant data points.
- Number of students from North Beach who attended the game: 110
- Total number of students from North Beach: 200
2. Formulate the probability.
- The probability of an event occurring is calculated as the ratio of the number of successful outcomes to the total number of possible outcomes.
- In this case, we want to find the probability that a student attended the game given that the student is from North Beach.
3. Calculate the probability.
- Probability [tex]\( P( \text{Attended the game | From North Beach} ) \)[/tex] = [tex]\(\frac{\text{Number of students from North Beach who attended the game}}{\text{Total number of students from North Beach}}\)[/tex]
- Substituting in the values: [tex]\( P( \text{Attended the game | From North Beach} ) = \frac{110}{200} \)[/tex]
4. Simplify the fraction and express it as a decimal.
- [tex]\(\frac{110}{200} = 0.55\)[/tex]
5. Round the result to two decimal places.
- The result is already in two decimal places: 0.55
Therefore, the probability that a student attended the game given that the student is from North Beach is [tex]\( 0.55 \)[/tex].
The correct answer is:
A. 0.55
