A Titanic disaster In 1912 the luxury liner Titanic, on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who lived and who died, by class of travel. Suppose we choose an adult passenger at random.

Survival Status Class of Travel Survived Died First class 197 122 Second class 94 167 Third class 151 476

(a) Given that the person selected was in first class, what’s the probability that he or she survived?

(b) If the person selected survived, what’s the probability that he or she was a third-class passenger?