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2 July, 13:06

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

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Answers (1)
  1. 2 July, 15:15
    0
    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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