A location network is connected by 10 lines. If one of the lines breaks, the whole net falls apart. During a time of T, the probability that each of 10 lines will break is 0.6, then, what is the probability that the net will fall apart during time period T?
1-(0.4^10)
i agree, but how the hell do you do this without a calculator?
Ok, I know some crazy people have 2^n memorized for values of n, so this is possible if you are one of these crazy people.
.4^10 = (.1*4)^10 = .1^10 * 4^10 = .1^10 * 2^20
So if you know 2^20 you can do this quite easily. But I don’t know 2^20, so I’m gonna have to say NOT POSSIBLE WITHOUT A CALCULATOR.
its 1-(.94^10) not 1-(.4^10)
I agree with duke, 1-(.94^10)
During a time of T, the probability that each of 10 lines will break is 0.6
This means probability of each line individually is 0.6.
1-(0.4^10)
The probability is 1 .
i.e. the net will fall apart .