Question

Captain Kevin has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Ben and his merciless band of thieves. The Captain has probability 3/5 ​ 3/5 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/5 ​ 1/5 If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?

Answer 1

12/25

Explanation:

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Answer 2

8/25 or 32%.

Explanation:

If Captain Kevin has a probability of 3/5 of hitting the pirate ship, then he has a probability of 2/5 of missing the pirate ship.

As for the dreaded pirate Ben, if he has a probability of 1/5 of hitting the Captain's ship, then he has a probability of 4/5 of missing the pirate ship.

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

`P=(2)/(5)*(4)/(5)=(8)/(25) \\P=32\%`

The probability of both missing is 8/25 or 32%.