SOLUTION: A jewelry supplier has a supply of pairs of earrings of which 40% are platinum pairs. A jewelry store orders five sets of earrings from this supplier. If the supplier selects the p

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Question 1099493: A jewelry supplier has a supply of pairs of earrings of which 40% are platinum pairs. A jewelry store orders five sets of earrings from this supplier. If the supplier selects the pairs of earrings at random, what is the chance that the jewelry store gets exactly two sets of platinum pairs?

0.4320

0.2880

0.3456

0.1920
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

The number of different ways that 2 of the 5 pairs could be platinum is "5 choose 2" = 10.

For each of those different ways, the probability of getting 2 platinum (probability 40% each) and 3 others (probability 60% each) is %280.4%29%5E2+%2A+%280.6%29%5E3+=+0.03456

So the probability of getting 2 platinum pairs out of 5 is 10%2A0.03456+=+0.3456