Решение задачи N3863 теория вероятностей Байеса

3863. The assembler received three boxes of parts manufactured by plant 1 and two boxes of parts manufactured by plant 2. The probability that part 1 of the plant is standard is 0.9, and that of plant 2 is 0.8. The assembler removed the standard part from the box taken at random. Find the probability that it is made by the factory №1.

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