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 chosen randomly from the class passed the test or completed the homework?
Passed the test Failed the test
Completed the homework 9 2
Did not complete the homework 3 5
To calculate the probability that a student chosen randomly from the class passed the test or completed the homework, we need to add the number of students who passed the test and completed the homework and divide it by the total number of students in the class.
Number of students who passed the test and completed the homework = 9
Total number of students in the class = 9 + 2 + 3 + 5 = 19
Therefore, the probability that a student chosen randomly from the class passed the test or completed the homework is:
= Number of students who passed the test and completed the homework / Total number of students in the class
= 9 / 19
= 9/19
Therefore, the probability that a student chosen randomly from the class passed the test or completed the homework is 9/19.