Dependent probability Captain Emily has a ship , the H . M . S Crimson Lynx . The ship is five furlongs from the dread pirate Umaira and her merciless band of thieves . of hitting the pirate ship . If her ship has been If her ship hasn ' t already been hit , Captain Emily has probability hit . Captain Emily will always miss . of hitting the Captain ' s ship . If her sho If her ship hasn ' t already been hit , dread pirate Umaima has probability has been hit , dread pirate Umaima will always miss . If the Captain and the pirate cach shoot once , and the pirate shoots first , what is the probability that the pirate misses the Captain ' s ship , but the Captain hits ?