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A certain component of an electronic device has a probability of 0.1 of failing. If there are 6 such components in a circuit, what is the probability that at least one fails?
A. 0.60
B. 0.47
C. 0.167
D. 0.000006
E. 0.000001
The probability of one failing is 0.1 The probability of two failing is 0.1 x 0.1 = 0.01 The probability if three failing is 0.1 x 0.1 x 0.1 = 0.001 etc The probability of all six failing is 0.1 x 0.1 x 0.1 x 0.1 x 0.1 x 0.1 = 0.000001
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