SOLUTION: a box contains 2000 components of which 15% are defective. a second box contains 5000 components of which 25% are defective,two other boxes each with 10% defective. a box is chosen

Question 768589: a box contains 2000 components of which 15% are defective. a second box contains 5000 components of which 25% are defective,two other boxes each with 10% defective. a box is chosen at random and an item selected was found to be defective.find the probability that this has come from second box.
thank you.
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
Answer:
0.25(1/4) / 0.15(1/4)+0.25(1/4)+0.1(1/4)+0.1(1/4)
= 0.25/(0.15+0.25+0.1+0.1)
= 0.25/0.6
= 25/60
= 5 / 12
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