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A certain component of an electronic dev...

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

0.6

B

0.47

C

0.167

D

6.0E-6

Text Solution

Verified by Experts

The correct Answer is:
B
The probability that at least one component fails is 1 minus the probability that all suceed. Since the probability of one component succeeding is 1 minus 0.1 or 0.9, the probability that all succeed is `(0.9)^(6)=0.53, and 1-0.53=0.47`.
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