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. 3 of hitting the pirate ship. The pirate only has one good eye, so he hits the 5 The Captain has probability Captain's ship with probability 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?

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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Please answer correctly, deals with independent probability.

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 a probability of \(\frac{3}{5}\) of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \(\frac{1}{5}\).

**If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?**

\[ \text{(Insert answer box here)} \]
Transcribed Image Text: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 a probability of \(\frac{3}{5}\) of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \(\frac{1}{5}\). **If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?** \[ \text{(Insert answer box here)} \]
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