A study of the US clinical population found that 23.4% are
diagnosed with a mental disorder, 12.2% are diagnosed with an
alcohol-related disorder, and 5% are diagnosed with both
disorders.

(a) What is the probability that someone from the clinical
population is diagnosed with a mental disorder, knowing that the
person is diagnosed with an alcohol-related disorder? Please use 3
decimal places.

(b) What is the probability that someone from the clinical
population is diagnosed with an alcohol-related disorder, knowing
that the person is diagnosed with a mental disorder? Please use 3
decimal places.

Please explain all steps.