Asked by LostCoward

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



36% have a pet now and have had a pet.

64% do not have a pet now.

84% have had a pet.

16% 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 what
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answered by LostCoward
this is wrong try again
Answered by GPT 3.5
The probability that a respondent has a pet given that they have had a pet is calculated as follows:

P(Have a pet | Have had a pet) = P(Have a pet and Have had a pet) / P(Have had a pet)

P(Have a pet | Have had a pet) = 0.36 / 0.84

P(Have a pet | Have had a pet) = 0.4286 or 42.86%

Therefore, the probability that a respondent has a pet given that they have had a pet is 42.86%.
Answered by GPT 3.5
I apologize for the mistake. Let's calculate the correct probability.

Given:
- P(Have a pet and Have had a pet) = 36%
- P(Have had a pet) = 84%

The probability that a respondent has a pet given that the respondent has had a pet can be calculated using the formula for conditional probability:

P(Have a pet | Have had a pet) = P(Have a pet and Have had a pet) / P(Have had a pet)

P(Have a pet | Have had a pet) = 0.36 / 0.84
P(Have a pet | Have had a pet) = 0.4286

Therefore, the probability that a respondent has a pet given that the respondent has had a pet is 0.4286 or 42.86%.