Solving problem N4088 Bayesian probability theory

Solving problem N4088 Bayesian probability theory

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?

Additional information:

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

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