An oil drilling operation predicts the success of a new well based on the geological structure. Experience shows what the probabilityof a type A structure at the site of a productive well is 0.40. The company also knows that 50% of all wells are drilled in locations with type A structure. Finally, 30% of all wells drilled are productive.
If drilling process begins in a location with a type A structure, what is the probability of having a productive well at that location?
For this you need to use Bayes’ Theorem: P(A|B) = P(B|A)×P(A)/P(B).
We want to know: what is the …