Captain Michael has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate William and his merciless band of thieves.
The Captain has probability 2/3 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/ 3
If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?