4090. Shooting is carried out on targets of type A, B, C, the number of which, respectively, are 5: 3: 2. The probability of hitting a type A target is 0.4; Type B - 0.1; Type C - 0.15. Find the probability of hitting the target with one shot, if it is not known what type of target it will be made.

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