4011. In stock there are instruments manufactured by three plants: 20% of the instruments are manufactured by plant No. 1, 50% by plant No. 2, 30% by plant No. 3. The likelihood that during the year the device will need repairs for the production of each plant, respectively, 0,2; 0.1; 0.3. The device, taken from the warehouse, had no factory marking and required repairs during the year. Which plant most likely made this device? What is the probability?

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)