A 2010 study conducted by the National Center for Health and Statistics found that 33% of U.S households had no landline service. This raises concerns about the accuracy of certain surveys, as they depend on random-digit dialling to households via landlines. We are going to pick five U.S. households at random.

What is the probability that all five of them have a landline?

What is the probability that at least one of them does not have a landline?

What is the probability that at least one of them does have a landline?

Please show the work