Answer:
The probability of choosing either a 10th grader or an A student is 0.78125.
Step-by-step explanation:
- Number of 10th graders = 18
- Number of 9th graders = 14
- Total number of students = 32
- Number of 10th graders who got an A = 5
- Number of 9th graders who got an A = 7
- Total number of A students = 5 (10th graders with A) + 7 (9th graders with A) = 12
- Now, we find the total number of 10th graders or A students:
- Total = Number of 10th graders + Number of A students - Number of students who are both 10th graders and A students
- Total = 18 (10th graders) + 12 (A students) - 5 (10th graders who got an A)
- Total = 18 + 12 - 5 = 25
- Now, to find the probability:
- Probability = (Total number of 10th graders or A students) / (Total number of students)
- Probability = 25 / 32
- Probability ≈ 0.78125
