Solution of problem N4118 probability theory total prob

Solution of problem N4118 probability theory total prob

4118. Shooting is carried out on two targets of type A, three - of type B and two - of type C. The probability of hitting a target of type A is 0.5, of type B - 0.4, of type C - 0.1. Find the probability of hitting the target with one shot, if it is not known what type of target it was made.

Additional information:

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