The cathe captain has probability 4 5 5 4 start fraction, 4, divided by, 5, end fraction of hitting the pirate ship. the pirate only has one good eye, so he hits the captain's ship with probability 1 7 7 1 start fraction, 1, divided by, 7, end fraction. 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? ptain has probability 4 5 5 4 start fraction, 4, divided by, 5, end fraction of hitting the pirate ship. the pirate only has one good eye, so he hits the captain's ship with probability 1 7 7 1 start fraction, 1, divided by, 7, end fraction. 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?