Suppose that A & b are mutually exclusive events. Then P(A)=.3 and P(B)=.5. What is the probability that either A or B occurs? A occurs but b doesn't. Both A and B occur.
1) Since the are mutually exclusive:
$P(A \cup B)= P(A)+P(B)=.3+.5=.8$
2) $A$ occurs $but$ B does not: $.3$
3) Both $A$ and $B$ occur:
Since they are mutually exclusive:
$P(A \cap B)= 0$ or the empty set
Are these correct