You organise a focus group to test the demand for a new product for children and select randomly 4 households in your city. According to the last Census, you find that, in your city, about 30% of family households have at least 1 child (C), 40% have no child (NC), 25% are single adult households (S) and the rest are multiple family households without children (M). Among the 4 potential households that will be selected for the focus group, what is the probability that:

a) All live a in type C household?

b) No one live in a type M household.

c) They are not all Type NC household?

d) At least one household is Type S?