4116. Shooting is carried out at targets of type A, B, and C, the number of which, respectively, is 4: 5: 1. The probability of hitting a type A target is 0.9; Type B - 0.85; Type C - 0.95. a) Find the probability of hitting the target with one shot, if it is not known what type of target it will be placed. b) Target struck. Find the probability that a type A target was fired.

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