In a math class with 29 students, a test was given the same day that an assignment was due. There were 22 students who passed the test and 20 students who completed the assignment. There were 18 students who passed the test and also completed the assignment. What is the probability that a student who did not complete the homework passed the test?

4/29 is the probability that a student who did not complete the homework passed the test.

Step-by-step explanation:

It is given that,

There are 29 students in a math class.

Two types of students who passed the test and are not passed the test.

The other two types of students are who completed the assignment and did not complete the assignment.

So, the given data can be formed as a table.

There were 22 students who passed the test. There were 20 students who completed the assignment. There were 18 students who passed the test and also completed the assignment.

Passed the test Not passed the test Total

Completed assignment 18 - 20

Not completed assignment x - -

Total 22 - 29

Now, you need to find the probability that a student who did not complete the homework passed the test.

⇒ No. of students completed assignment passed the test / Total students.

To find the no. of students completed assignment passed the test:

Let 'x' is the no. of students completed assignment passed the test.

⇒ 18+x = 22

⇒ x = 22 - 18

⇒ x = 4

∴ P (students completed assignment passed the test) = 4 / 29.