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probability

by sud21 » Fri Jan 27, 2012 9:38 am
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?
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by MakeUrTimeCount » Fri Jan 27, 2012 2:22 pm
The probability that 1 of 10 lines will break is 0.6
The probability that 1 of 10 lines will not-break is = 1 - 0.6 = 0.4

The probability that all of 10 lines will not-break is = (0.4)^10

Probability that the net will fall apart = 1 - (.4)^10
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