Captain William has a ship, the H. M.S Crimson Lynx. The ship is five furlongs from the dread pirate Emily and

her merciless band of thieves.

of hitting the pirate ship. If his ship has

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

been hit, Captain William will always miss.

of hitting the Captain's ship. If her ship

If her ship hasn't already been hit, dread pirate Emily has probability

has been hit, dread pirate Emily will always miss.

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

Captain hits the pirate ship, but the pirate misses?