Question

A company has 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. The probability that a worker will pick a bolt that is not defective is ________________

Answer 1

5253/5255 Since there are 2 defective bolts out of every 5255 bolts, that means that there's 5255-2 = 5253 good bolts out of every 5255 bolts. So the probability of a good bolt is 5253/5255. Now you need to reduce the fraction to it's simplest form. The factors of 5255 = 5 * 1051 The factors of 5253 = 3 * 17 * 103 Since they don't have any factors in common, the fraction 5253/5255 is already reduced. So the answer is 5253/5255