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

Grade	Geometry	Algebra II	Pre-Calculus	AP Statistics	Total
10th	150	75	25	5	255
11th	50	100	75	20	245
12th	10	50	100	65	225
Total	210	225	200	90	725

Part A: What is the probability that a student will take AP Statistics? (2 points) Part B: What is the probability that a 12th-grader will take either Pre-Calculus or AP Statistics? (2 points) Part C: What is the probability that a student will take Algebra II given that he or she is in the 11th grade? (2 points) Part D: Consider the events "A student takes Algebra II" and "A student is a 10th-grader." Are these events independent? Justify your answer. (4 points)

short explanation explanation for each question and no plagiarism plz