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
(the answer must be an integer or decimal rounded to the nearest hundredth as needed.)
To find the probability that a respondent has a pet given that they have had a pet, we can use the formula:
P(A|B) = P(A and B) / P(B)
Where:
P(A|B) is the probability of A given B
P(A and B) is the probability of both A and B occurring
P(B) is the probability of B occurring
Given that 36% have a pet now and have had a pet, we can consider this as P(A and B). Therefore, P(A and B) = 0.36.
Given that 84% have had a pet, we can consider this as P(B). Therefore, P(B) = 0.84.
Now we can plug these values into the formula:
P(A|B) = 0.36 / 0.84
P(A|B) = 0.4286
So, the probability that a respondent has a pet given that they have had a pet is approximately 0.43.