First, let's find the total number of students who passed the test:
Total students who passed the test = 9 (Passed the test and completed the homework) + 2 (Passed the test and did not complete the homework) = 11
Next, let's find the number of students who passed the test and completed the homework:
Students who passed the test and completed homework = 9
Therefore, the probability that a student who passed the test completed the homework is:
Probability = Students who passed the test and completed homework / Total students who passed the test
Probability = 9 / 11
Probability ≈ 0.818
So, the probability that a student who passed the test completed the homework is approximately 0.818 or 81.8%.
In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student who passed the test completed the homework?
Passed the test Failed the test
Completed the homework 9 2
Did not complete the homework 3 5
1 answer