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You purchased a five-pack of new light bulbs that were recalled because 15% of the lights did not work. What is the probability that at least one of your lights is defective?The probability that at least one of the light bulbs is defective is _________

User Cvetelina
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The probability that the light bulb is defective is as follows.


P(defective)=0.15

On the other hand, the probability that the light bulb is not defective is as follows.


P(\text{not defective})=1-0.15=0.85

To identify the probabiliy that at least one is defective, we have the following:


\begin{gathered} P(\text{at least 1 is defective})=1-P(\text{5 are not defective}) \\ =1-(0.85)^5 \\ \approx1-0.443705 \\ \approx0.556295 \\ \approx55.6295\% \end{gathered}

Thus, the probability that at least one is defective is about 55.63%.

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You purchased a five-pack of new light bulbs that were recalled because 15% of the-example-1
User Magesh
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