Question

A) An adult who visited a therapist during the past year is randomly selected. What is the probability this adult used non-prescription antidepressants? Round your answer to decimal places.
(b) What is the probability that an adult visited a therapist during the past year, given that he or she used non-prescription antidepressants? Round your answer to decimal places.

Answer 1

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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