In a class of 21 students, 11 students passed the test. A total of 14 students completed their homework. If there are 4 students who did not pass the test AND did not complete their homework, what is the probability that a student passed the test GIVEN THAT they completed the homework?
+178 So, we have that there were 21-4=17 students who either passed the test or completed HW. So, there were 11+14-17 = 8 students that passed the test and compelted the HW. So, the probability is \(\frac{8}{14} = \frac47.\)
