Kate is in the final year of her studies and she has to choose exactly one of two optional courses offered this semester. She would prefer to take Course I, which she likes best, but she feels that this is difficult and estimates that the probability of getting an A grade in this course is 25%, while in Course II she estimates that probability to be 40%. She decides to leave the decision in the hands of chance and throws a die. If the outcome is at least 3, she will choose Course I, otherwise she will choose Course II.

(i) What is the probability that Kate chooses Course II and gets an A grade in the exam?
(ii) What is the probability that Kate gets an A grade in the exam?