in a class of students, the following data table summarizes how many students passed a test and complete the…

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? passed the test failed the test completed the homework 9 2 did not complete the homework 3 6

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? passed the test failed the test completed the homework 9 2 did not complete the homework 3 6

Answer

Explanation:

Step1: Find total number of students

Add all values in the table: $9 + 2+3 + 6=20$.

Step2: Identify number of students who failed and didn't complete

The number of students who failed the test and did not complete the homework is 6.

Step3: Calculate the probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{6}{20}=\frac{3}{10}$.

Answer:

$\frac{3}{10}$