A string of \(5\) different colored light bulbs is wired in such a way that if any two-consecutive light bulb fails, then the entire string fails. If for each individual light bulb, the probability of not failing during time period \(T\) is \(0.85,\) what is the probability that the string of light bulbs will fail during time period \(T?\)
A) 0.0225
B) 0.09
C) 0.225
D) 0.25
E) 0.5
Answer: B
Source: e-GMAT
A string of \(5\) different colored light bulbs is wired in such a way that if any two-consecutive light bulb fails, the
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