Suppose a recent poll of American Households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive.

1. What is the probability that none of the three randomly selected households own a cat? (round to the nearest hundredth)

2. what is the probability that at least two of the three randomly selected households own either a cat or a dog