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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?

A0.60
B0.47
C0.167
D0.000006
E0.000001

Verified Answer :

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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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