Two students, X and Y, forgot to put their names on their exam papers. The professor knows that these two students can do well on the exam with probabilities 0.8 and 0.4, respectively.
After grading, the professor notices that X and Y forgot to put their names on their exams. One exam (missing a name) was done well and another (missing a name) was done poorly. Given this information, and assuming that students worked independently of each other, what is the probability that the good exam belongs to student X?

The "given" is not an exam done well. The "given" is that one exam is done well and one exam is done poorly. (As opposed to both done well or both done poorly.)

Answer rating: 100% (QA)

The probability that X will do well in the exam PX 08 The proba... View the full answer