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 / dfrac{4}{9} 9 4 start fraction, 4, divided by, 9, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability / dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, 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?

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

Step-by-step 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