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 \dfrac{2}{3}
3
2
start fraction, 2, divided by, 3, 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}{3}
3
1
start fraction, 1, divided by, 3, end fraction.
Answers
Given : Captain Michael has a ship, the H.M.S. Khan.
The Captain has probability 2/3 to hit
The pirate only has one good eye, so he hits the Captain's ship with probability 1/3 .
Any one can hit if its not already hitted.
Captain and the pirate each shoot once, and captain shoot first
To Find : Probability that pirate hit the H.M.S. Khan.
Solution:
Probability that pirate hit the H.M.S. Khan.
Pirate can only hit if captain misses
Probability that captain misses = 1- Probability captain hit
1 - 2/3 = 1/3
Probability pirate hit = 1/3
Probability pirate hit = captain misses * pirate hit
(1/3) (1/3) = 1/9
if both hit together then probability that bot hit each other
= (2/3) (1/3)
= 2/9
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