Question

Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from dead pirate Daniel and his merciless band of thieves.

The captain has the probability of 1/2 of hitting the pirate ship. the pirate only has one good eye, so he hits the captains ship with probability 1/5 .

If both fire cannons at the same time, what is the probability that both the pirate and the captain hit each other's chip

Answer 1

`(1)/(10)`

Explanation:

Probability of the captain hitting the pirate ship
`=(1)/(2)`

Probability of the pirate hitting the captain's ship
`=(1)/(5)`

If both fire cannons at the same time, the probability that both the pirate and the captain hit each other's ship

=P(Captain Hits AND Pirate Hits)

=P(Captain Hits) X P(Pirate Hits)

`=(1)/(2) X (1)/(5)\\\\=(1)/(10)`