SOLUTION: Hello! the communication network has built-in a safeguard system against failures. In this system if Line 1 fails, it is bypassed and Line 2 is used. If line 2 also fails, it is b

Algebra ->  Probability-and-statistics -> SOLUTION: Hello! the communication network has built-in a safeguard system against failures. In this system if Line 1 fails, it is bypassed and Line 2 is used. If line 2 also fails, it is b      Log On


   

Question 350926: Hello!
the communication network has built-in a safeguard system against failures. In this system if Line 1 fails, it is bypassed and Line 2 is used. If line 2 also fails, it is bypassed and Line 3 is used. The proabability of the failure of any one of these 3 lines is 0.01, and the failures of these lines are independent events. What is the proability that this system of 3 lines does not completely fail?
Thank You
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the probability that it does completely fail then subtract from 1.
P(3 failures)=%280.01%29%280.01%29%280.01%29=0.000001
P(complete failure)+P(not complete failure)=1
P(not complete failure)=1-P(complete failure)
P(not complete failure)=1-0.000001
P(not complete failure)=0.999999