a Captain Ashley has a ship , the H. M.S Crimson Lynx. The ship is two furlongs from the dread pirate Umaima and her merciless band of thieves . If her ship hasn't already been hit , Captain Ashley has probability of hitting the pirate ship. If her ship has been hit, Captain Ashley will always miss. 1/2 If her ship hasn't already been hit, dread pirate Umaima has probability of hitting the Captain's ship. If her ship has been hit, dread pirate Umaima will always miss. 1/3 If the Captain and the pirate each shoot once, and the pirate shoots first, what is the probability that both the pirate and the Captain hit each other's ships ?