Captain Ash has a ship, the H. M.S. Crimson Lynx. The ship is two leagues from the fearsome pirate Umaima with his band of heartless thieves. If his ship has not been gunned down, Captain Ash has a 1/2 chance of hitting the pirate ship. If your ship has been gunned down, Captain Ash will always miss. If his ship has not been gunned down, the fearsome pirate Umaima has a 1/3 chance of hitting the captain's ship. If your ship has been gunned down, the fearsome pirate Umaima will always miss. If both the captain and the pirate fire once, and the pirate shoots first, what is the probability that both the captain and the pirate will hit the other ship?​