Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves.
The captain has a probability 1/2 of hitting the pirate ship. The pirate only has one good Eye, so he hits the captain’s ship with probability 1/6.
If both fire the cannons at the same time, what is the probability that both the pirate and the captain hit each other’s ship?