During a study of auto accidents, the Highway Safety Council found that 60 percent of all accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at night and are...

Extracted text: During a study of auto accidents, the Highway Safety Council found that 60 percent of all accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at night and are alcohol-related. (a) What is the probability that an accident was alcohol-related, given that it occurred at night? (b) What is the probability that an accident occurred at night given that it was alcohol-related?