In a math class with 24 students, a test was given the same day that an assignment was due. There were 15 students who passed the test and 17 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student who did not complete the assignment passed the test? Answer:

Question

Bytelearn · Accepted Answer

Determine Total Students Not Completed: Determine the total number of students who did not complete the assignment. Since there are 24 students in total and 17 students completed the assignment, the number of students who did not complete the assignment is 24 - 17 = 7.Students Passed Test Not Completed Assignment: Determine the number of students who passed the test but did not complete the assignment. We know that 4 students failed the test and did not complete the assignment. Since there are 15 students who passed the test, we need to find out how many of those who passed did not complete the assignment. We can calculate this by subtracting the number of students who both passed the test and completed the assignment from the total number of students who passed the test.Calculate Students Passed & Completed: Calculate the number of students who both passed the test and completed the assignment. Since there are 24 students in total, 4 students neither passed the test nor completed the assignment, and 7 students did not complete the assignment, we can find the number of students who both passed the test and completed the assignment by subtracting those who did not complete the assignment and those who neither passed the test nor completed the assignment from the total number of students. So, the number of students who both passed the test and completed the assignment is 24 - 7 - 4 = 13.Calculate Students Passed Not Completed: Calculate the number of students who passed the test but did not complete the assignment. We know that 15 students passed the test in total. From Step 3, we know that 13 students both passed the test and completed the assignment. Therefore, the number of students who passed the test but did not complete the assignment is 15 - 13 = 2.Calculate Probability: Calculate the probability that a student who did not complete the assignment passed the test. From Step 1, we know there are 7 students who did not complete the assignment. From Step 4, we know that 2 of these students passed the test. Therefore, the probability that a student who did not complete the assignment passed the test is 2/7.

Full solution

More problems from Probability of independent and dependent events

Related topics