Question

in a math class with 18 students, a test was given the same day that an assignment was due. there were 9 students who passed the test and 11 students who completed the assignment. there were 7 students who passed the test and also completed the assignment. what is the probability that a student who completed the assignment failed the test?

Explanation:

Step1: Find students who completed assignment but failed test

Number = Completed assignment - Both passed and completed = $11 - 7 = 4$

Step2: Calculate conditional probability

Probability = $\frac{\text{Completed but failed}}{\text{Completed assignment}} = \frac{4}{11}$

Answer:

$\frac{4}{11}$