Use the survey results to find the probability that a respondent has a pet, given that the respondent has had a pet.

37% have a pet now and have had a pet.

63% do not have a pet now.

81% have had a pet.

19% do not have a pet now and have never had a pet.

The Probability that the respondent has a pet given that the respondent has had a pet is ?

Show your work

Probability that the respondent has a pet given that the respondent has had a pet is    or 0.46.

Step-by-step explanation:

We are given the following results below;

37% have a pet now and have had a pet.

63% do not have a pet now.

81% have had a pet.

19% do not have a pet now and have never had a pet.

Let event B = respondent has a pet now

Now, Probability that the respondent has had a pet = P(A) = 0.81

Probability that the respondent has a pet now and has had a pet = = 0.37

So, Probability that the respondent has a pet given that the respondent has had a pet is given by = P(B/A)

This conditional probability is solved as ;

     P(B/A)  =  

                 =    = 0.46.

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step-by-step explanation: