SOLUTION: Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Ashley and her merciless band of thieves. The Captain has probability 3/4 of hitting t

Algebra ->  Probability-and-statistics -> SOLUTION: Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Ashley and her merciless band of thieves. The Captain has probability 3/4 of hitting t      Log On


   

Question 1029276: Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Ashley and her merciless band of thieves.
The Captain has probability 3/4 of hitting the pirate ship. The pirate only has one good eye, so she hits the Captain's ship with probability 1/4.
If both fire their cannons at the same time, what is the probability that the pirate hits the Captain's ship, but the Captain misses?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the possible outcomes,
Captain hits, pirate hits:%283%2F4%29%281%2F4%29=3%2F16
Captain hits, pirate misses:%283%2F4%29%283%2F4%29=9%2F16
Captain misses, pirate hits:%281%2F4%29%281%2F4%29=1%2F16
Captain misses, pirate misses:%281%2F4%29%283%2F4%29=3%2F16
So,
P=1%2F16