Three shells are fired at the target. The probability of hitting the target with the first projectile is 0.4; with the second ia 0.5; with the third ia 0.7. With one hit the target is destroyed with a probability of 0.2; with two strikes 0.6; with three strokes - for sure. Calculate the probability of destruction of the target.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Three shells are fired at the target. The probability of hitting the target with the first projectile is 0.4; with the second ia 0.5; with the third ia 0.7. With one hit the target is destroyed with a probability of 0.2; with two strikes 0.6; with three strokes - for sure. Calculate the probability of destruction of the target.
 
 
 
 
 
 
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