Contingency Tables and Conditional Probability: Homework and Passing a Course A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below. Passed the Course Did not Pass the Course Total Completed HW Did not Complete HW 27 8 6 33 16 24 Total 35 22 57 A student from the class is randomly selected. Determine the following probabilities. Enter your results as percents rounded to two decimal places. What is the probability a student completed the HW? What is the probability a student passed the course and did not complete the HW? What is the probability a student did not pass the course or completed the HW? What is the probability a student passed the course given that they completed the HW?

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