Two students A and B are both registered for a Probability class. Neither student has a sterling attendance pattern. Student A attends class 75% of the time, and even worse,student B attends class only 65% of the time. The decision by A and B to attend class are made indpendently.
(a) What is the probability that at least one of the two students will be in class on a given day?
(b) If at least one of the two students is in class on a given day, what is the probability that A is in class that day?
(c) If at least one of the two students is not in class on a given day, what is the probability that A is in class that day?