The probability that this adult used non-prescription antidepressants is 0.78.
How to calculate the probability?
Based on the information given, the following can be deduced:
Let A = event where adults visit therapist.
Let B = event where adults used non prescription antidepressants.
P(A) = 0.27
P(B) = 0.46
P(A n B) = 0.21
The probability that a randomly selected adult who visited the therapist used non-prescription antidepressants will be:
= 0.21/0.27
= 0.78
The probability that an adult visited a therapist during the past year, given that he or she used non-prescription antidepressants will be:
= 0.21/0.46
= 0.46
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