SOLUTION: Factories A and B produce all of the computers sold at Cheapo Discount Stores. Factory A produces 4 times as many computers as factory B. The probability that a computer produced b

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Question 1124561: Factories A and B produce all of the computers sold at Cheapo Discount Stores. Factory A produces 4 times as many computers as factory B. The probability that a computer produced by factory A is defective is 0.3 and the probability that one produced by factory B is defective is 0.2.

If a Cheapo computer is selected at random and it is found to be defective, what is the probability it came from factory A?


If a Cheapo computer is selected at random and it is found not to be defective, what is the probability it came from factory B?

Enter your answers as whole numbers or fractions in lowest terms.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Look at 1000 computers, 800 in Factory A and 200 in Factory B.
===A==========B=====Total
G--560-----------160------720
B--240------------40------280
T---800-----------200----1000
280 are defective, 240/280 probability it came from A or 6/7 or 86%
720 not defective 160/720 probability it came from B or 2/9 or 22%