Question

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? Passed the test Failed the test Completed the homework 16 3 Did not complete the homework 4 6

Answer 1

To find the probability that a student chosen randomly from the class passed the test, we need to find the total number of students who passed the test and divide it by the total number of students in the class.

The total number of students who passed the test is the sum of the number of students who passed and completed the homework and the number of students who passed but did not complete the homework, which is 16 + 3 = 19.

The total number of students in the class is the sum of all four values in the table, which is 16 + 3 + 4 + 6 = 29.

Therefore, the probability that a student chosen randomly from the class passed the test is 19/29, which is approximately 0.655 or 65.5%.