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 Popcorn, there is a 75% chance that it is Terrible.
The probability of being both Popcorn and Terrible is .4875.
1. If a film is Terrible, what is the probability that it is Arty?
a. .170
b. .235
c. .288
d. .350
e. .415