M
Mathematics , 22.06.2022 07:54

A companyhas determined that 2 out of every 5255 bolts that it ordered is defective. What is the
probability that that a worker will pick a bolt that is not defective? Enter your answer as a reduced fraction
using / for the fraction bar. Do not use any spaces in your answer.


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Answered by an experienced expert nasty0541

Answer: The probability that a worker will choose a bolt that is not defective is equal to 5253/5255.

Explanation:
P(A)+P(A')=1, meaning that the probability of the event plus the probability of the complement of the event (the probability of the event not occurring) is equal to 1.
Rearranging the equation gives us 1-P(A)=P(A');
P(A)=2/5255;
so1-2/5255=5253/5255.

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