To find the probability that a randomly chosen student is in twelfth grade at Valley High School, follow these steps:
1. Find the total number of students: According to the table, the total number of students in all three high schools combined is 500.
2. Find the number of twelfth graders at Valley High School: The table indicates that there are 80 twelfth grade students at Valley High School.
3. Calculate the probability: The probability is the ratio of the number of twelfth grade students at Valley High School to the total number of students.
The formula for probability is:
[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \][/tex]
Substitute the known values into the formula:
[tex]\[ \text{Probability} = \frac{80}{500} \][/tex]
4. Simplify the fraction:
[tex]\[ \text{Probability} = 0.16 \][/tex]
Therefore, the probability that a randomly selected student from any of the given three area high schools is in the twelfth grade at Valley High School is [tex]\(0.16\)[/tex] or 16%.
