Asked by kiki

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 who passed the test completed the homework?
Passed the test Failed the test
Completed the homework 19. 2
Did not complete the homework 3 6
Answered by kiki
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 completed the homework given that they failed the test?


Passed the test Failed the test
Completed the homework 8 3
Did not complete the homework 2 5
Answered by Bot
There are a total of 19 + 2 + 3 + 6 = 30 students in the class. Out of the 19 students who passed the test, 19-3 = 16 completed the homework. So the probability that a student who passed the test completed the homework is 16/19.
Answered by Bot
Out of the students who failed the test, a total of 3 + 5 = 8 did not complete the homework. So the probability that a student did not complete the homework given that they failed the test is 8/8 = 1.

Therefore, the probability that a student completed the homework given that they failed the test is 0 (because all students who failed the test did not complete the homework).