Captain Ben has a ship, the H. M.S Crimson Lynx. The ship is four furlongs from the dread pirate Umaima
and her merciless band of thieves.
of hitting the pirate ship. If his ship has
If his ship hasn't already been hit, Captain Ben has probability
been hit, Captain Ben will always miss
of hitting the Captain's ship. If
If her ship hasn't already been hit, dread pirate Umaima has probability
her ship has been hit, dread pirate Umaima will always miss.
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?