Question: Some of the Fairly Fun Folks own pets (but only ferrets and fish; no frogs). Of these Folks, 2/5 own fish, 2/20 own both ferrets and fish, and 11/20 have no pets at all. The Fairly Fun Folks also have a variety of hair types: 1/10 have wavy hair, 2/5 have curly hair, 1/5 have kinky hair, 1/5 have straight hair, and 1/10 have no hair.
(a) What fraction of the Folks own ferrets?
(b) What is the probability that a Folk has curly hair and owns a ferret?
(c) What is the probability that a curly-haired Folk owns a ferret?
(d) If a Folk has curly hair, what is the probability that she owns a ferret?
(e) If a Folk owns a ferret, what is the probability that she has curly hair?
(f) What is the probability that a ferret owner has curly hair?
(g) Explain your answers to the previous questions using the language of random variables and conditional probability (if you have not already done so).
(h) What is the probability that one of the Folk with no hair owns fish?
(i) What is the probability that someone who owns both fish and ferrets has kinky hair?
(j) What is the probability that someone has straight hair and no pets?