Solving problem N4250 Bayesian probability theory

Solving problem N4250 Bayesian probability theory

4250. In two identical boxes are pencils. It is known that 1/4 of the pencils in the first box and 1/5 of the pencils in the second are characterized by TM hardness. At random, one box is selected and one pencil is drawn at random from it. It turned out to be hardness tm. What is the likelihood that it is removed from the second box?

Additional information:

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

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