Solving problem N4120 Bayesian probability theory

Solving problem N4120 Bayesian probability theory

4120. Shooting is carried out on five targets of type A, on three - type B and on two - type C. The probability of hitting a target of type A is equal to 0.4; Type B - 0.1; Type C - 0.15. A shot at one of the targets hit. Find the probability that a type B target is hit.

Additional information:

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