A company manufactures marbles. Over a year, it is observed that 70% of the marbles manufactured pass the quality check and 30% are rejected. 60% of the rejected marbles undergo reprocessing, while the rest go into scrap. What is the probability that out of 15 marbles selected at random exactly 3 marbles go into scrap?

Question

Mathematics

Kyle Cannon

12 August, 03:16

A company manufactures marbles. Over a year, it is observed that 70% of the marbles manufactured pass the quality check and 30% are rejected. 60% of the rejected marbles undergo reprocessing, while the rest go into scrap. What is the probability that out of 15 marbles selected at random exactly 3 marbles go into scrap?

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Jazlyn Buck · Answer 1

We are given

70% passing rate

30% rejection rate

60% of rejects undergo reprocessing

For 3 out of 15 to go into the scrap, the probability is

P = 15C3 (0.30) ^3 (0.7) ^ (15-3) (0.60)

Then, you solve for P to get the probability