3. Third-class passengers The Titanic struck an iceberg and sank on its first voyage across the Atlantic in 1912. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who survived and who died, by class of travel. Survived Yes No First 197 122 Class Second 94 167 Third 151 476 Suppose we randomly select one of the adult passengers who rode on the Titanic. (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 not a third-class passenger?

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