Captain Jessica has a ship, the H. M. S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability 4/9 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/4 . 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?
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