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Mathematics, 22.04.2020 18:58 Reddolls

Captain Gabriela has a ship, the H. M.S. Khan. The ship is two furlongs from the dread pirate Daniel and his merciless band of thieves.

The Captain has probability 1/2 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/5.

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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