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	3	4

Explanation:

Step1: Calculate total who completed homework

$10 + 6 = 16$

Step2: Calculate total students in class

$10 + 6 + 3 + 4 = 23$

Step3: Compute probability

$\frac{\text{Completed homework}}{\text{Total students}} = \frac{16}{23}$

Answer:

$\frac{16}{23}$