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 adefect?
Correct answer: C. 29/100
- A. 1/2,900
- B. 1/29
- C. 29/100
- D. 29/10
Explanation
Choice C is correct. It'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 29/100k, 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 .
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