Question

Captain Emily has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Ashley and her merciless band of thieves. If her ship hasn't already been hit, Captain Emily has probability \dfrac{1}{2} 2 1 ? of hitting the pirate ship. If her ship has been hit, Captain Emily will always miss. If her ship hasn't already been hit, dread pirate Ashley has probability \dfrac{1}{6} 6 1 ? of hitting the Captain's ship. If her ship has been hit, dread pirate Ashley will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain hits the pirate ship, but the pirate misses?

Answer 1

1/2

Explanation:

Khan Academy

Answer 2

1/2

Explanation:

Since the Captain shoots first, the probability of a hit on the pirate ship is 1/2. In the event of a hit, the pirate will always miss (p(miss|hit)=1), so ...

... p(hit, miss) = 1/2