Question 729645: Three machines A, B and C produce respectively 60%, 30% and 10 % of the total number of items of a factory. The percentage of defectives output of these machines are 2%, 3% and 4%, respectively. If an item is selected at random and is found defective. Find the probability that the selected item was produced by machine C.
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176)   (Show Source):
Answer by ikleyn(53339)  (Show Source):
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Three machines A, B and C produce respectively 60%, 30% and 10 % of the total number of items of a factory.
The percentage of defectives output of these machines are 2%, 3% and 4%, respectively.
If an item is selected at random and is found defective.
Find the probability that the selected item was produced by machine C.
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The probability that this selected item was produced by the machine C is the ratio
percentage of defective items produced by machine C
P = --------------------------------------------------------------- =  = 0.16.
percentage of defective items produced by all three machines
ANSWER. The probability that the selected item was produced by machine C is 0.16, or 16%.
Solved.
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