Captain Ishaan has a ship, the H. M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and

his merciless band of thieves.

of hitting the pirate ship. If his ship has been

If his ship hasn't already been hit, Captain Ishaan has probability

hit, Captain Ishaan will always miss.

of hitting the Captain's ship. If his ship

If his ship hasn't already been hit, dread pirate Michael has probability

has been hit, dread pirate Michael will always miss.

If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the

Captain and the pirate hit each other's ships?