Suppose that \(A\) and \(B\) are mutually exclusive events for which \(P(A) = 0.3\) and \(P(B) = 0.5\). What is the probability that…

1. either \(A\) or \(B\) occurs?
2. \(A\) occurs but \(B\) does not?
3. both \(A\) and \(B\) occur?
4. Are \(A\) and \(B\) independent? Why or why not?