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