The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4% on Tuesday, 4% on Wednesday, 4% on Thursday, 8% on Monday, and 12% on Friday.
The Company manufactures an equal amount of ball bearings (20%) on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday?
My solution: Given, P(defective|Monday)=0.08 P(defective|Tuesday)=0.04 P(defective|Wednesday)=0.04 P(defective|Thursday)=0.04 P(defective|Friday)=0.12
Now, the question asks for P(Friday|Defective)? Is my logic correct? Could someone help in how to finish the problem?