12. According to a survey conducted by the American Pet Products Association, 68% of U. S. households own a pet. According to the Energy Information Administration, 31% of all U. S. households have trouble paying their energy bills. Suppose 17% of all U. S. households own a pet and have trouble paying their energy bills. If a U. S. household is randomly sampled, a. What is the probability that the household owns a pet or is having trouble paying energy bills

0.82

Step-by-step explanation:

We are given;

P(households own a pet) = 68% = 0.68

P(have trouble paying their energy bills) = 31% = 0.31

P(households own a pet & have trouble paying energy bills) = 17% = 0.17

Now, to find the probability that a household either owns a pet or having trouble paying energy bills is gotten by the relationship;

P(households own a pet or have trouble paying energy bills) = P(households own a pet) + P(have trouble paying their energy bills) - P(households own a pet & have trouble paying energy bills)

This gives;

P(households own a pet or have trouble paying energy bills) = 0.68 + 0.31 - 0.17 = 0.82