Question: Question In a class of students, the following data table summarizes how many students passed a…

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 failed the test and did not complete the homework?

Answer Attempt 1 out of 3

Solution

To find the probability that a student chosen randomly from the class failed the test and did not complete the homework, we first need to identify the relevant numbers from the table. The number of students who failed the test and did not complete the homework is 6. Next, we calculate the total number of students in the class. This is the sum of all the students listed in the table: \[ 9 + 2 + 3 + 6 = 20 \] Now, the probability that a student failed the test and did not complete the homework is given by: \[ \frac{\text{Number of students who failed the test and did not complete homework}}{\text{Total number of students}} = \frac{6}{20} \] We simplify this fraction: \[ \frac{6}{20} = \frac{3}{10} \] Therefore, the probability is \(\frac{3}{10}\).