16 Research conducted by social scientists has shown that \(16 \%\) of young adults smoke cigarettes.
Two young adults are selected at random.
- Determine the probability that one smokes cigarettes and the other doesn't.
The same research has also shown that
- 75\% of young adults drink alcohol.
- \(66 \%\) of young adults drink alcohol, but do not smoke cigarettes.
- Determine the probability that a young adult selected at random does smoke cigarettes, but does not drink alcohol.
- A young adult who drinks alcohol is selected at random. Determine the probability that this young adult smokes cigarettes.
- Using your answer to part (c), explain whether the event that a young adult selected at random smokes cigarettes is independent of the event that a young adult selected at random drinks alcohol.