Question

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 1/3

If both fire their cannons at the same time, what is the probability that both the Captain and the pirate miss?

Answer 1

Answer:

1/3 or 33.33%

Step-by-step explanation:

If the Captain has a probability of 1/2 of hitting the pirate ship, then he has a probability of 1/2 of missing the pirate ship.

As for the pirate, if he has a probability of 1/3 of hitting the Captain's ship, then he has a probability of 2/3 of missing the pirate ship.

The probability that both miss after firing at the same time is:

$P=\frac{1}{2}*\frac{2}{3}=\frac{2}{6}\\P=\frac{1}{3}$

The probability of both missing is 1/3 or 33.33%.