Final answer:
To find the probability that a randomly chosen student from an algebra 2 class plays basketball or baseball, we add the students who play each sport and divide by the total number of students. Given that 9 play basketball, 14 play baseball, and 2 play neither, the total class size is 25 students, leading to a probability of 23 out of 25, or 0.92.
Step-by-step explanation:
The question is asking for the probability that a student chosen randomly from an algebra 2 class plays basketball or baseball. To solve this, we first need the total number of students in the class, which we can find by adding the number of students who play basketball, the number who play baseball, and the number who play neither.
Let's call the total number of students in the class 'N'. We know that:
- 9 students play basketball
- 14 students play baseball
- 2 students play neither sport
Assuming there are no students that play both sports (since it's not mentioned), N = 9 + 14 + 2 = 25 students in total. The probability (P) that a randomly chosen student plays basketball or baseball is the sum of students who play basketball and baseball, divided by the total number of students:
P = (Number of students who play basketball or baseball) / (Total number of students)
P = (9 + 14) / 25
P = 23/25
Therefore, the probability is 23 out of 25, or 0.92 when expressed as a decimal.