Suppose there are two types of movie: Arty (A), and Popcorn (P). These films may be either

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