Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves. The Captain has probability 1 of hitting the - pirate ship. The pirate only has one good eye, 1 so he hits the Captain's ship with probability - 6. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Captain Jessica has a ship, the H.M.S. Khan.
The ship is two furlongs from the dread pirate
Michael and his merciless band of thieves.
1
The Captain has probability of hitting the
2
pirate ship. The pirate only has one good eye,
1
so he hits the Captain's ship with probability
6.
If both fire their cannons at the same time,
what is the probability that both the pirate
and the Captain hit each other's ships?
Transcribed Image Text:Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves. 1 The Captain has probability of hitting the 2 pirate ship. The pirate only has one good eye, 1 so he hits the Captain's ship with probability 6. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
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