Captain Michael has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate William and his merciless band of thieves.
The Captain has probability 2/3 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 pirate and the Captain hit each other's ships?

Respuesta :

toporc
The events ' captain's cannon hits pirate ship' and 'pirate's cannon hits captain's ship' are independent. Therefore the probability of both events happening together is the product of the probabilities of the events.
[tex]P(both\ hit)=\frac{2}{3}\times\frac{1}{3}=\frac{2}{9}[/tex]

Answer:

2/9

Step-by-step explanation: