Refer to Exercise 56, but assume there are 10 homes in the Prince Creek development and four of them have a security system. Three homes are selected at random: a. What is the probability all three of...

Refer to Exercise 56, but assume there are 10 homes in the Prince Creek development and four of them have a security system. Three homes are selected at random:

a. What is the probability all three of the selected homes have a security system?

b. What is the probability none of the three selected homes have a security system?

c. What is the probability at least one of the selected homes has a security system?

d. Did you assume the events to be dependent or independent?