Hobbits are a simple hole-dwelling folk who live in the Shire in northwestern Middle-Earth. They are known for their fondness for food and the comforts of home. Answer each of the following: 

a. There are twenty-seven families that live on the stretch of land called Bagshot Row in Hobbiton. If four of these are named Proudfoot, what is the probability that a randomly chosen family from this area is a Proudfoot family? What are the odds that a randomly chosen family is a Proudfoot family? 

b. Though hobbits are known for their aversion to adventures of all sorts, surprisingly two in three hobbit families own a magical artifact. What are the odds that a randomly chosen family does not have a magical artifact?

 c. The odds that a hobbit family lives in Buckland, rather than Hobbiton are 2:7. What is the probability that a randomly chosen hobbit family lives in Buckland?