For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead

Question

For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?

Accepted Answer

Choice C is correct. It&rsquo;s given that 29 out of every 100 beads that the machine produces have a defect. It follows that if the machine produces k beads, then the number of beads that have a defect is 29 100 k , for some constant k . If a bead produced by the machine will be selected at random, the probability of selecting a bead that has a defect is given by the number of beads with a defect, 29 100 k , divided by the number of beads produced by the machine, k . Therefore, the probability of selecting a bead that has a defect is 29 100 k k , or 29 100 . Choice A is incorrect and may result from conceptual or computational errors. Choice B is incorrect and may result from conceptual or computational errors. Choice D is incorrect and may result from conceptual or computational errors.

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