The question is not written correctly.
Correct question
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?
Answer:
1/9
Explanation:
In the question, we are given the following data
a) The probability of hitting the Captain hitting the pirate's ship = 4/9
b) The probability of the pirate with his one good eye hitting the Captain's ship = 1/4
We were asked to find the probability that if both the Captain and the Pirate fire their cannons at the same time, they would hit each other
This is calculated as
= Probability of Captain hitting the Pirate's ship × Probability of the Pirate hitting the Captain's ship
= 4/9 × 1/4
= 4/36
= 1/9
Therefore, the probability that both the Pirate and the Captain hit each other's ships is 1/9