Решение задачи N4088 теория вероятностей Байеса

4088. Shooting is performed on five targets of type A, eight of type B, seven of type C. The probability of hitting a target of type A is 0.6, type B - 0.24, type C - 0.45. Find the probability of hitting the target with one shot, if it is not known what type of target it will be made. What is the probability that a shot was fired at a type C target?

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