Students at Praline High are allowed to sign up for one English class each year. The numbers of students signing up for various English classes for the next school year are given in the following table:

Grade English I English II English III English IV Total

10th 60 165 20 15 260

11th 35 40 115 10 200

12th 10 25 90 145 270

Total 105 230 225 170 730

Part A: What is the probability that a student will take English IV? (2 points)

Part B: What is the probability that an 11th-grader will take either English II or English III? (2 points)

Part C: What is the probability that a student will take English III given that he or she is in the 11th grade? (2 points)

Part D: Consider the events "A student takes English I" and "A student is a 10th-grader." Are these events independent? Justify your answer. (4 points) (10 points)