Decide if the events are mutually exclusive. event?

a. randomly selecting someone who smokes cigarsrandomly selecting someone who smokes cigars event?

b. randomly selecting a malerandomly selecting a male

Mutually exclusive events are events that cannot occur at the same time. So the answer is yes because the two events can happen at the same time. In the first event, it is random - it can be female or male and in the second event it is the only male.