Question

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

Answer 1

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