Question

for a certain class, the following data table compares how many students passed a test and whether or not they completed the homework due the day of the test. what is the probability that a student chosen randomly from the class completed the homework?

	passed the test	failed the test
did not complete the homework	2	6

Explanation:

Step1: Find total students who completed homework

To find the number of students who completed the homework, we add the number of students who completed homework and passed the test, and those who completed homework and failed the test. So, \(14 + 3 = 17\).

Step2: Find total number of students in the class

To find the total number of students, we add all the values in the table. So, \((14 + 3)+(2 + 6)=17 + 8 = 25\).

Step3: Calculate the probability

The probability that a randomly chosen student completed the homework is the number of students who completed homework divided by the total number of students. So, the probability is \(\frac{17}{25}\).

Answer:

\(\frac{17}{25}\)