UCSS Math II 4.2.2 Example 2

The completed two-way frequency table from Example 1 is shown below. It shows the results of a survey designed to help the Student Council choose a school-wide activity. Consider the following events that apply to a random student who participated in the survey.
  • : The student is in the tenth grade.
  • : The student is in the twelfth grade.
  • : The student prefers a field trip.
  • : The student prefers a talent show.
Compare and . Are and independent? Compare and . Are and independent? Interpret the results.