To determine the probability that a student completed the homework given that they passed the test, we need more information about:
- The total number of students.
- The number of students who completed the homework.
- The number of students who passed the test.
- The number of students who both completed the homework and passed the test.
Once we have these values, we can use the formula for conditional probability:
\[ P(\text{Homework} \mid \text{Passed}) = \frac{P(\text{Homework and Passed})}{P(\text{Passed})} \]
Without specific data, it's impossible to calculate the probability. However, if you are able to provide the relevant numbers, I could help you solve it!