Solving problem N4116 Bayesian probability theory

Solving problem N4116 Bayesian probability theory

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.

Additional information:

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