A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T id 0.06, what is the probability that the string of lightbulbs will fail during time period T?

A.0.06

B.(0.06)^10

C.1-(0.06)^10

D.(0.94)^10

E.1-(0.94)^10

我对这题真是没什么概念呀!

思路：已知其中一盏灯在时间T内不亮的概率是0.06，求连在一起的10盏灯的灯串在时间段T内不亮的概率。

因为只要一盏灯不亮，整个灯串就不亮。所以灯串如果在时间T内亮的话，只有10盏灯都亮。灯串在时间T内亮的概率是（1-0.06）^10.

所以，不亮的概率＝1-亮的概率：1-(0.94)^10