It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used non-prescription antidepressants. It is also estimated that 21% of all adults both visited a therapist and used a non-prescription antidepressant during the past year.

(a) What is the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants? Round your answer to 2 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 2 decimal places.

(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

Step-by-step explanation:

Conditional probability of an event X given that another event Y has already occurred is:

Let A = an adult visited the therapist and B = an used non-prescription antidepressants.

Given:

P (A) = 0.27

P (B) = 0.46

P (A ∩ B) = 0.21

(a)

Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:

Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b)

Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

Thus, the probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00