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A restaurant receives 30% of its drinks from Company 1, 40% of its drinks from Company...

A restaurant receives 30% of its drinks from Company 1, 40% of its drinks from Company 2, and the remainder of its drinks from Company 3. From Company 1’s shipments, 5% of the drinks get damaged in shipping. From Company 2’s shipments, 4% of the drinks get damaged in shipping. From Company 3’s shipments, 1% of the drinks get damaged in shipping. A shipment of 200 drinks is delivered to the restaurant but we are not sure which company had delivered these drinks. These 200 drinks are inspected and 10 drinks are found to be damaged. Assuming that the drinks are independent of each other, what is the probability that the shipment came from Company 2.

Math   Statistics-And-Probability   
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