The next two problems utilize the information in the following paragraph.
Suppose there are two types of movie: Arty (A), and Popcorn (P). These films may be either Decent (D) or Terrible (T). 35% of all movies are Arty. 20% of all movies are both Arty and Decent. If a film is a Popcorn, there is a 75% chance that it is Terrible.
A) Then, what is the probability of being both Popcorn and Terrible?
a. .1625 b. .1725 c. .4875 d. .5525 e. .6550
B) If a film is Terrible, what is the probability that it is Arty?
a. .170 b. .235 c. .288 d. .350 e. .415